ISSN 00418994
eISSN: 22402926

Forthcoming Articles
(Last update: October 5, 2018)
The following articles will soon be published in this journal.
To view the abstract, or download the full paper in PDF^{[1]}, click on the article's title.

Enomoto, Chihiro and Yoshida, Kenichi publication status: accepted

Bach, Samuel and Melani, Valerio publication status: accepted

Hubschmid, Patrik and Viada, Evelina publication status: accepted

Alexandru, Victor and Vajaitu, Marian and Zaharescu, Alexandru publication status: accepted

Ozavsar, Muttalip publication status: accepted

Issaoui, Hatem and Battikh, Naoufel publication status: accepted

Wehrfritz, B. A. F. publication status: accepted

Franco, Daniel H. T. and Alves, Magno B. publication status: accepted

Flowers, Neil and Wakefield, Thomas publication status: accepted

Geck, Meinolf publication status: accepted

Stocka, Agnieszka publication status: accepted

Du, Guangwei and Niu, Pengcheng and Han, Junqiang publication status: accepted

Hu, Bin and Huang, Jianhong and Skiba, Alexander N. publication status: accepted

Puthenpurakal, Tony Joseph publication status: accepted

Wilde, Tom publication status: accepted

Noormohammadi, Hassan and Rahimi, Ahad publication status: accepted

Yu, Haoran publication status: accepted

Sawkmie, Amplify and Singh, Madan Mohan publication status: accepted

Gille, Philippe publication status: accepted

BellierMillès, Joan publication status: accepted

Friedenberg, Stefan publication status: accepted

Laterveer, Robert publication status: accepted

De Giovanni, Francesco and Trombetti, Marco publication status: accepted

Getmanenko, Alexander publication status: accepted

Marini, Stefano and Nacinovich, Mauro publication status: accepted

Burenkov, V. I. and Chigambayeva, D. K. and Nursultanov, E. D. publication status: withdrawn by the authors
Accepted Papers
 Enomoto, Chihiro and Yoshida, Kenichi
Department of Mathematics
College of Humanities and Sciences
Nihon University
32540 Sakurajosui
Setagayaku
Tokyo 1568550
Japan
yoshida@math.chs.nihonu.ac.jp Abstract: In this paper, we prove that any CohenMacaulay monomial ideal generated by at most five elements is clean. received 13.10.2017, accepted 21.06.2018 (14 pages)
download: manuscript (120K)
 Bach, Samuel and Melani, Valerio
Department of Mathematics
The University of British Columbia
1984 Mathematics Road, Vancouver, BC
Canada V6T 1Z2
samuelbach@hotmail.fr
Dipartimento di Matematica Universit… di Milano
via Cesare Saldini 50
20133 Milano
taly
valerio.melani@unimi.it Abstract: We introduce and study the derived moduli stack $\mathbb{Symp}(X,n)$ of $n$shifted symplectic structures on a given derived stack $X$, as introduced in [8]. In particular, under reasonable assumptions on $X$, we prove that $\mathbb{Symp}(X,n)$ carries a canonical quadratic form, in the sense of [14]. This generalizes a classical result of Fricke and Habermann (see [3]), which was established in the $C^{\infty}$setting, to the broader context of derived algebraic geometry, thus proving a conjecture stated in [14]. received 26.09.2017, accepted 15.06.2018 (16 pages)
download: manuscript (328K)
 Hubschmid, Patrik and Viada, Evelina
Mathematisches Institut
GeorgAugustUniversit„t G”ttingen
Bunsenstrasse 35
37073 G”ttingen
Germany
pevelina.viada@mathematik.unigoettingen.deatrikh@gmx.ch
further Viada
Department of Mathematics
ETH Zurich
R„mistrasse 101,
8092 ZurichSwitzerland
evelina.viada@math.ethz.ch
Abstract: The torsion anomalous conjecture states that for any variety $V$ in an abelian variety there are only finitely many maximal $V$torsion anomalous varieties. We prove this conjecture for $V$ of codimension $2$ in a product $E^N$ of an elliptic curve $E$ without CM, complementing previous results for $E$ with CM. We also give an effective upper bound for the normalized height of these maximal $V$torsion anomalous varieties. received 30.01.2017, accepted 11.05.2018 (9 pages)
download: manuscript (265K)
 Alexandru, Victor and Vajaitu, Marian and Zaharescu, Alexandru
Department of Mathematics
University of Bucharest
14 Academiei Street
RO010014 Bucharest
Romania
Simion Stoilow Institute of Mathematics of the Romanian Academy
P.O. Box 1764
RO014700 Bucharest
Romania
Simion Stoilow Institute of Mathematics of the Romanian Academy
P.O. Box 1764
RO014700 Bucharest
Romania Abstract: Given a prime number $p$ and $x$ an element of the Tate field $\mathbb{C}_p$,
the main goal of the present paper is to provide an explicit generating set,
which is given by the trace function of $x$ and all its derivatives, for the $\mathbb{C}_p$Banach algebra of the
Galois equivariant Krasner analytic functions defined on the complement in $\mathbb{P}^1(\mathbb{C}_p)$
of the orbit of $x$ with values in $\mathbb{C}_p$. received 26.09.2017, accepted 13.03.2018 (14 pages)
download: manuscript (295K)
 Ozavsar, Muttalip
Mathematics
Yildiz Technical University
34210, Istanbul
Turkey Abstract: In this study we first define the concept of Nadler type contraction in the setting of $H$cone $b$metric space with respect to cone $b$metric spaces over Banach algebras. Next we prove the Banach contraction principle for such contractions by means of the notion of spectral radius and a solid cone in underlying Banach algebra. Finally we observe that the main result achieved in this work extends and generalizes the well known results associated with contractions of Nadler type. received 05.02.2018, accepted 12.03.2018 (10 pages)
download: manuscript (295K)
 Issaoui, Hatem and Battikh, Naoufel
Institut pr‚paratoire aux ‚tudes d ing‚nieurs de Nabeul
Universit‚ de Carthage
Campus Universitaire
Merazka, 8000
Nabeul
Tunisie
hatem_iaaoui@yahoo.com
D‚partement des Math‚matiques
Facult‚ des sciences de Tunis
Universit‚ Tunis El Manar
naoufelbattikh@yahoo.fr Abstract: The algebra of noncommutative differential forms
has been defined by A. Connes in }$\left[ 4\right] .$ Using this
algebra, M. Karoubi has defined cyclic homology and Hochschild homology
groups (see. $\left[ 13\right] $). These groups are related to the
algebraic Ktheory. The purpose of this paper is to provide the
noncommutative differential forms algebra with the structure of
GerstenhaberVoronov algebras. received 13.06.2017, accepted 01.03.2018 (15 pages)
download: manuscript (340K)
 Wehrfritz, B. A. F.
School of Mathematical Sciences
Queen Mary University of London
Mile End Road
London E1 4NS
England
b.a.f.wehrfritz@qmul.ac.uk
Abstract: If $\{\gamma^{s+1}G\}$ and $\{\zeta_s(G)\}$ denote respectively the lower and upper central series of the group $G$, $s\ge 0$ an integer, and if $\gamma^{s+1}G/(\gamma^{s+1}G\cap\zeta_s(G))$ is polycyclic (resp. polycyclicbyfinite) for some $s$, then we prove that $G/\zeta_{2s}(G)$ is polycyclic (resp. polycyclicbyfinite). The corresponding result with polycyclic replaced by finite was proved in 2009 by G. A. Fern ndezAlcober and M. Morigi. We also present an alternative approach to the latter. received 25.08.2017, accepted 23.02.2018 (10 pages)
download: manuscript (127K)
 Franco, Daniel H. T. and Alves, Magno B.
Universidade Federal de Vi‡osa
Departamento de Fisica
Av. Peter Henry Rolfs s/n
Campus Universitario
Vi‡osa, MG
Brasil, CEP: 36.570900
daniel.franco@ufv.br
universidade Federal de Juiz de Flora
Departamento de Matematica
Campus Universitario
Bairro Martelos
Juiz de Flora, MG
Brasil, CEP: 36.036900
magno_branco@yahoo.com.br Abstract: We address in this paper the issue of singularities of
ultrahyperfunctions. Following the Carmichael's approach for
ultrahyperfunctions, we study the relation between the singular
spectrum of a class of tempered ultrahyperfunctions corresponding
to proper convex cones and their expressions as boundary values of
holomorphic functions. In passing, a simple version of the celebrated
edge of the wedge theorem for this setting is derived from the integral
representation without using cohomology. received 18.08.2017, accepted 09.02.2018 (17 pages)
download: manuscript (467K)
 Flowers, Neil and Wakefield, Thomas
Department of Mathematics and Statistics
Youngstown State University
One University Plaza
Youngstown, OH 44555
United States Abstract: A finite group $G$ is said to be \textsl{twisted cyclic} if there exist $\phi \in \text{Aut}(G)$ and $x \in G$ such that $G=\{(x^i)\phi^j\ :\ i,j \in \mathbb{Z}\}$. In this note, we classify all groups satisfying this property and determine that, if a finite group $G$ is twisted cyclic, then $G$ is isomorphic to $\mathbb{Z}_{p^n}$, $\mathbb{Z}_p\times \mathbb{Z}_p \times \cdots \times \mathbb{Z}_p$, $Q_8$, $\mathbb{Z}_{p^n}\times \mathbb{Z}_{p^n}$ or direct products of these groups for some prime $p$ and some $n\in \mathbb{Z}^{+}$. received 03.01.2018, accepted 09.02.2018 (9 pages)
download: manuscript (356K)
 Geck, Meinolf
IAZ  Lehrstuhl fr Algebra
Universit„t Stuttgart
Pfaffenwaldring 57
D70569 Stuttgart
Germany
meinolf.geck@mathematik.unistuttgart.de Abstract: Let $G(q)$ be a Chevalley group over a finite field
$\F_q$. By Lusztig's and Shoji's work, the problem of computing the
values of the unipotent characters of $G(q)$ is solved, in principle, by
the theory of character sheaves; one issue in this solution is the
determination of certain scalars relating two types of class functions
on $G(q)$. We show that this issue can be reduced to the case where
$q$ is a prime, which opens the way to use computer algebra methods.
Here, and in a sequel to this article, we use this approach to solve a
number of cases in groups of exceptional type which seemed hitherto out of
reach.
received 24/01/2018, accepted 06.02.2018 (20 pages)
download: manuscript (303K)
 Stocka, Agnieszka
Institute of Mathematics
University of Bialystok
K. Ciolkowskiego 1M
15245 Bialystok
Poland Abstract: A subset $X$ of a finite group $G$ is called gindependent if
there is no proper subset $Y$ of $X$ such that $\langle Y,\Phi(G) \rangle = \langle X,\Phi(G) \rangle.$ The group $G$ has the embedding property if every gindependent subset of $G$ can be embedded in a minimal generating set of $G$.
If $X$ is a set of prime power order elements, then we say that $G$ has the ppembedding property.
In this note we classify all finite solvable groups with the ppembedding property. Moreover we prove that this class is equal to the class of finite solvable groups with the embedding property.
received 26.10.2017, accepted 19.01.2018 (11 pages)
download: manuscript (296K)
 Du, Guangwei and Niu, Pengcheng and Han, Junqiang
Department of Applied Mathematics
Northwestern Polytechnical University
Xian
China Abstract: See the article received 18.03.2017, accepted 09.12.2017 (32 pages)
download: manuscript (464K)
 Hu, Bin and Huang, Jianhong and Skiba, Alexander N.
Hu, Huang
School of Mathematics and Statistics
Jiangsu Normal University
Xuzhou, 221116
P. R. China
Skiba
Department of Mathematics
Francisk Skorina Gomel State University
Gomel 246019
Belarus
Abstract: see the article received 26.02.2017, accepted 29.11.2017 (14 pages)
download: manuscript (234K)
 Puthenpurakal, Tony Joseph
Department of Mathematics
Indian Institute of Technology Bombay
Powai
Mumbai 400 076
India
Abstract: In this paper we show that a large class of onedimensional CohenMacaulay local rings $(A,\mathfrak{m})$ has the property that if $M$ is a maximal CohenMacaulay $A$module then the Hilbert function of $M$ (with respect to $\mathfrak{m}$) is nondecreasing. Examples include
(1) Complete intersections $A = Q/(f,g)$ where $(Q,\mathfrak{n})$ is regular local of dimension three and $f \in \mathfrak{n}^2 \setminus \mathfrak{n}^3$.
(2) One dimensional CohenMacaulay quotients of a two dimensional CohenMacaulay local ring with pseudorational singularity.
received 16.02.2017, accepted 09.11.2017 (7 pages)
download: manuscript (248K)
 Wilde, Tom
2 Amner Road
London SW11 6AA
UK Abstract: We show that if $\chi$ is an irreducible complex character of a metabelian $p$  group $P,$ where $p$ is an odd prime, and if $x\in P$ satisfies $\chi(x)\neq 0$, then the order of $x$ divides $P/\chi(1)^2.$ received 21.06.2017, accepted 09.11.2017 (9 pages)
download: manuscript (304K)
 Noormohammadi, Hassan and Rahimi, Ahad
Department of Mathematics
Azarbaijan Shahid Madani University
Tabriz
Iran
Department of Mathematics
Razi University
Kermanshah
Iran
Abstract: In this paper, we give a characterization for CohenMacaulay rings $R/I$ where $I\subset R=K[y_1, \dots, y_n]$ is a monomial ideal which satisfies $\rm{bigsize}\, I=\rm{size}\, I$. Next, we let $S=K[x_1,\ldots,x_m, y_1,\ldots,y_n]$ be a polynomial ring and $I\subset S$ a monomial ideal. We study the sequentially CohenMacaulayness of $S/I$ with respect to $Q=(y_1,\ldots,y_n)$. Moreover, if $I\subset R$ is a monomial ideal such that the associated prime ideals of $I$ are in pairwise disjoint sets of variables, a classification of $R/I$ to be sequentially CohenMacaulay is given.
Finally, we compute $\rm{grade}\,(Q, M)$ where $M$ is a sequentially CohenMacaulay $S$module with respect to $Q$. received 02.04.2017, accepted 23.10.2017 (14 pages)
download: manuscript (323K)
 Yu, Haoran
School of Mathematics
Jilin University
No. 2699 Qianjin Street
Changchun
China Abstract: In this note, we extend the concept of $\Pi$property of subgroups of finite groups and generalize some recent results. In particular, we generalize the main results of Li et al. [8] and Miao et al. [9]. received 28.08.2017, accepted 23.10.2017 (17 pages)
download: manuscript (345K)
 Sawkmie, Amplify and Singh, Madan Mohan
Department of Mathematics
NorthEastern Hill University
Shillong793022
India
Department of Basic Sciences & Social Sciences
NorthEastern Hill University
Shillong793022
India Abstract: For each pair of integers $n=\prod_{i=1}^{r}p_i^{e_i}$ and $k \geq 2$, a digraph $G(n,k)$ is one with vertex set $\{0,1,\ldots ,n1\}$ and for which there exists a directed edge from $x$ to $y$ if $x^k \equiv y \pmod n$. Using the Chinese Remainder Theorem, the digraph $G(n,k)$ can be written as a direct product of digraphs $G(p_i^{e_i},k)$ for all $i$ such that $1 \leq i \leq r$. A fundamental constituent $G_{P}^{*}(n,k)$, where $P \subseteq Q=\{p_1,p_2,\ldots,p_r\}$, is a subdigraph of $G(n,k)$ induced on the set of vertices which are multiples of $\prod_{{p_i} \in P}p_i$ and are relatively prime to all primes $p_j \in Q \smallsetminus P$. In this paper, we investigate the uniqueness of the factorization of trees attached to cycle vertices of the type $0$, $1$, and $(1,0)$, and in general, the uniqueness of $G(n,k)$. Moreover, we provide a necessary and sufficient condition for the isomorphism of the fundamental constituents $G_{P}^{*}(n,k_1)$ and $G_{P}^{*}(n,k_2)$ of $G(n,k_1)$ and $G(n,k_2)$ respectively for $k_1 \neq k_2$.
received 01.06.2017, accepted 20.10.2017 (28 pages)
download: manuscript (460K)
 Gille, Philippe
Université Claude Bernard Lyon 1
CNRS UMR 5208
Institut Camille Jordan
43 Blvd. du 11 novembre 1918
F69622 Villeurbane cedex
France Abstract: Let $K$ be a discretly henselian field whose residue field is separably closed.
Answering a question raised by G. Prasad, we show that
a semisimple $K$group $G$ is quasisplit if and only if it quasisplits after a finite tamely
ramified extension of $K$.
received 07.07.2017, accepted 16.10.2017 (9 pages)
download: manuscript (318K)
 BellierMillès, Joan
Institut de Mathématiques de Toulouse
UMR5219, Université de Toulouse
CNRS, UPS IMT
F31062 Toulouse Cedex 9
France Abstract: We prove an equivalence of categories from formal complex structures with formal holomorphic maps to homotopy algebras over a simple operad with its associated homotopy morphisms. We extend this equivalence to complex manifolds. A complex structure on a smooth manifold corresponds in this way to a family of algebras indexed by the points of the manifold. received 24.03.2017, accepted 25.09.2017 (38 pages)
download: manuscript (538K)
 Friedenberg, Stefan
University of Stralsund
Zur Schwedenschanze 15
18435 Stralsund
Germany
Abstract: Let $A$ and $B$ be rational groups, i.e. torsionfree groups of rank1 and thus subgroups of the rational numbers. This paper gives a short overview of the structure of $\text{Ext}\,(A,B)$ especially considering some interesting classes of torsionfree pairs. received 06.03.2017, accepted 20.09.2017 (5 pages)
download: manuscript (272K)
 Laterveer, Robert
Institut de Recherche Mathématique Avancée
CNRS _ Université de Strasbourg
7 Rue René Descartes
67084 Strasbourg CEDEX
France Abstract: Motivated by the BeauvilleVoisin conjecture about Chow rings of powers of $K3$ surfaces, we consider a similar conjecture for Chow rings of powers of EPW sextics. We prove part of this conjecture for the very special EPW sextic studied by DontenBury et alii. We also prove some other results concerning the Chow groups of this very special EPW sextic, and of certain related hyperk\"ahler fourfolds.
received 22.06.2016, accepted 28.08.2017 (27 pages)
download: manuscript (320K)
 De Giovanni, Francesco and Trombetti, Marco
Dipartimento di Matematica e Applicazioni
Università di Napoli Federico II
Complesso Universitario Monte S. Angelo
Via Cintia,
Napoli
Italy Abstract: A class of groups {\mgoth X} is said to be countably recognizable if a group belongs to~{\mgoth X} whenever all its countable subgroups lie in {\mgoth X}. It is proved here that the class of groups whose subgroups are closed in the profinite topology is countably recognizable. Moreover, countably detectable properties of the finite residual of a group are studied. received 17.01.2017, accepted 29.05.2017 (11 pages)
download: manuscript (306K)
 Getmanenko, Alexander
Department of Mathematics
Edificio Mario Laserna Cra 1 Este No 19A
40 Bogota
Colombia
Universidad de los Andes
Colombia Abstract: We study the ramified Cauchy problem for a linear PDE with a radial point using the theory of microdifferential operators. received 23.09.2016, accepted 11.05.2017 (20 pages)
download: manuscript (447K)
 Marini, Stefano and Nacinovich, Mauro
Dipartimento di Matematica e Fisica
III Università di Roma
Largo San Leonardo Murialdo, 1
00146 Roma
Italy
Dipartimento di Matematica
II Università di Roma “Tor Vergata”
Via della Ricerca Scientifica
00133 Roma
Italy Abstract: We define a class of compact homogeneous $CR$ manifolds
which are bases of Mostow fibrations having total spaces equal to their canonical
complex realizations and Hermitian fibers. This is used to establish isomorphisms
between their tangential CauchyRiemann cohomology groups and the corresponding
Dolbeault cohomology groups of the embeddings. received 17.12.2016, accepted 09.05.2017 (30 pages)
download: manuscript (278K)
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