Results 51 to 60 of about 783 (126)
An Approach to Baer Criteria of Injectivity Versus Ideal Injectivity
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper aims to investigate the Baer‐type criteria for the injectivity of S‐acts. Unlike modules over rings, where the Baer criterion for injectivity is valid, this criterion remains an open problem for acts over semigroups. Every injective S‐act is ideal injective, but the converse does not hold in general.
Hasan Barzegar, Anwar Saleh Alwardi
wiley +1 more source
b‐Filter Grade of an Ideal a for Triangulated Categories
Journal of Mathematics, Volume 2026, Issue 1, 2026.Let a and b be two homogeneous ideals in a graded‐commutative Noetherian ring R, and let X be an object in a compactly generated R‐linear triangulated category T. We introduce the notion of the b‐filter grade of a on X, denoted by f‐gradb,a,X, and provide several characterizations and bounds for this invariant. In addition, we explore the relationships
Li Wang +4 more
wiley +1 more source
Neutrosophic Ideals in Artinian Rings and Their Application to AI‐Driven Uncertainty Classification
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work examines the behaviour of neutrosophic ideals within the framework of Artinian rings. A key finding shows that a ring with unity is left (or right) Artinian if and only if every neutrosophic left (or right) ideal takes only finitely many possible values.
Amr Elrawy +4 more
wiley +1 more source
Homology of Artinian Modules Over Commutative Noetherian Rings [PDF]
, 2011 This work is primarily concerned with the study of artinian modules over commutative noetherian rings. We start by showing that many of the properties of noetherian modules that make homological methods work seamlessly have analogous properties for ...
Leamer, Micah J. +2 more
core
Lattice decomposition of modules over commutative rings
, 2023 The direct sum decomposition of a module M in a direct sum $M=M_1\oplus{M_2}$ does not produce, in general, a decomposition of the lattice $L(M)$ of all submodules of $M$ in a direct product of lattices $L(M)=L(M_1)\times{L(M_2)}$.
Santos, Evangellina +2 more
core +1 more source
Non-commutative Cohen–Macaulay Rings [PDF]
, 2001 We introduce a concept of Cohen–Macaulayness for left noetherian semilocal rings (and their modules) which generalizes the corresponding notion of commutative algebra and naturally applies to ...
Rump, Wolfgang
core +1 more source
Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum. [PDF]
Math Ann, 2023 Bik A, Danelon A, Draisma J.
europepmc +1 more source
G-dimensions for DG-modules over commutative DG-rings
, 2023 We define and study a notion of G-dimension for DG-modules over a non-positively graded commutative noetherian DG-ring $A$. Some criteria for the finiteness of the G-dimension of a DG-module are given by applying a DG-version of projective resolution ...
Yang, Xiaoyan +2 more
core
Modules Over Hereditary Noetherian Prime Rings
, 1975 Quasi-injective and quasi-projective modules over hereditary noetherian prime rings ((hnp)-rings) were studied in [17]. In the present paper we give some applications of the results established in [17].
Surjeet Singh
core +1 more source
Towards the decidability of the theory of modules over finite commutative rings
, 2009 On the basis of the Klingler-Levy classification of finitely generated modules over commutative noetherian rings we approach the old problem of classifying finite commutative rings R with the decidable theory of modules.
PUNINSKI G. +3 more
core +2 more sources