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We investigate ideal-semisimple and congruence-semisimple semirings. We give several new characterizations of such semirings using e-projective and e-injective semimodules. We extend several characterizations of semisimple rings to (not…

Rings and Algebras · Mathematics 2019-08-02 Jawad Y. Abuhlail , Rangga Ganzar Noegraha

The aim of this article is twofold: first, improve the multiplicity estimate obtained by the second author for Drinfeld quasi-modular forms; and then, study the structure of certain algebras of "almost-$A$-quasi-modular forms"

Number Theory · Mathematics 2013-09-19 Vincent Bosser , Federico Pellarin

Suppose $R$ is a commutative ring and $G$ is a group acting on a set $W$. We consider the $RG$-module $RW$ in the case where $G$ is the automorphism group of an $\omega$-categorical structure $M$ and $W$ is, for example, $M^n$ (for $n \in…

Group Theory · Mathematics 2026-04-01 David M. Evans

Extreme-mass-ratio inspirals (EMRIs) will be key sources for LISA. However, accurately extracting system parameters from a detected EMRI waveform will require self-force calculations at second order in perturbation theory, which are still…

General Relativity and Quantum Cosmology · Physics 2021-06-08 Samuel D. Upton , Adam Pound

We study the permutation action of a finite symplectic group of characteristic 2 on the set of subspaces of its standard module which are either totally isotropic or else complementary to totally isotropic subspaces with respect to the…

Combinatorics · Mathematics 2008-01-30 David B. Chandler , Peter Sin , Qing Xiang

The first purpose of this paper is to set up a general notion of skew power series rings S over a coefficient ring R, which are then studied by filtered ring techniques. The second subject consists of investigating the class of S-modules…

Rings and Algebras · Mathematics 2010-06-29 Peter Schneider , Otmar Venjakob

Let $T$ be a subset of a ring $A$, and let $M$ be an $A$-module. We study the additive subgroups $F$ of $M$ such that, for all $x \in M$, if $tx \in F$ for some $t \in T$, then $x \in F$. We call any such subset $F$ of $M$ a $T$-factroid of…

Rings and Algebras · Mathematics 2025-08-04 Jesse Elliott , Neil Epstein

An ideal I of a commutative ring R is said to be irreducible if it cannot be written as the intersection of two larger ideals. A proper ideal I of a ring R is said to be strongly irreducible if for each ideals J, K of R, J\cap K\subseteq I…

Commutative Algebra · Mathematics 2015-01-22 Hojjat Mostafanasab , Ahmad Yousefian Darani

In this paper, we will introduce a subcategory of totally reflexive modules that have a saturated filtration by other totally reflexive modules. We will prove these are precisely the totally reflexive modules with an upper-triangular…

Commutative Algebra · Mathematics 2014-10-06 Denise A. Rangel Tracy

We consider robust submodular maximization problems (RSMs), where given a set of $m$ monotone submodular objective functions, the robustness is with respect to the worst-case (scaled) objective function. The model we consider generalizes…

Optimization and Control · Mathematics 2023-06-12 Hsin-Yi Huang , Hao-Hsiang Wu , Simge Kucukyavuz

Here, we experimentally demonstrate that a stack of metallic spiral structures (MSSs) can have dominant magnetic coupling in both of its two configurations. This allows magnetic-coupling-dominant energy transport along a one-dimensional…

Optics · Physics 2015-11-03 Zhen Gao , Fei Gao , Youming Zhang , Baile Zhang

We investigate the competitive adsorption of a two-component gas on the surface of an adsorbent whose adsorption properties vary in adsorption due to the adsorbent deformation. The essential difference of adsorption isotherms for a…

Materials Science · Physics 2015-06-17 A. S. Usenko

We present an alternative scheme for obtaining effective power dissipation in planar composites, extending the recently proposed concept of metagrating (MGs), sparse arrangements of polarizable particles (meta-atoms), to realize…

Applied Physics · Physics 2022-06-22 Yarden Yashno , Ariel Epstein

Here we obtain alternative descriptions of massive spin-2 particles by an embedding procedure of the Fierz-Pauli equations of motion. All models are free of ghosts at quadratic level although most of them are of higher order in derivatives.…

High Energy Physics - Theory · Physics 2015-06-19 D. Dalmazi , A. L. R. dos Santos , E. L. Mendonça

Let $R$ be a commutative ring with identity. For a finitely generated $R$-module $M$, the notion of associated prime submodules of $M$ is defined. It is shown that this notion inherits most of essential properties of the usual notion of…

Commutative Algebra · Mathematics 2007-05-23 Kamran Divaani-Aazar , Mohammad Ali Esmkhani

The aim of this paper is to study the group of isomorphism classes of torsors of finite flat group schemes of rank 2 over a commutative ring $R$. This, in particular, generalises the group of quadratic algebras (free or projective), which…

Algebraic Geometry · Mathematics 2019-02-20 Ilia Pirashvili

Relating the electromagnetic scattering and absorption properties of an individual particle to the reflection and transmission coefficients of a two-dimensional material composed of these particles is a crucial concept that has driven both…

Optics · Physics 2019-10-02 Romain Dezert , Philippe Richetti , Alexandre Baron

In this paper, we are mainly interested in the two questions "which are the commutative rings on which every finitely presented modules is [Formula: see text]-periodic (respectively, [Formula: see text]-periodic)?". It is proved that these…

Commutative Algebra · Mathematics 2022-03-08 Driss Bennis , François Couchot

In this work we develop some categorical aspects of the double structure of a module.

Algebraic Geometry · Mathematics 2023-08-30 Thiago F. da Silva

In this paper, double commutativity and the reverse order law for the core inverse are considered. Then, new characterizations of the Moore-Penrose inverse of a regular element are given by one-sided invertibilities in a ring. Furthermore,…

Rings and Algebras · Mathematics 2019-02-20 Jianlong Chen , Huihui Zhu , Pedro Patricio , Yulin Zhang
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