Results 11 to 20 of about 101 (90)
Annihilator condition on modules
, 2023 Let R be a commutative ring with 1 6¼ 0 and M a unital R-module. M is said to satisfy Property (A) if for each finitely generated ideal J of R contained in ZRðMÞ, there exists 0 6¼ m 2 M such that Jm ¼ ð0Þ: Also M is said to satisfy Property (T) if for ...
TEKİR, ÜNSAL
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Some NECESSARY AND SUFFICIENT CONDITIONS OF COMULTIPLICATION MODULE
, 2022 In ring theory, if and be ideals of , then the multiplication of and , which is defined by is also ideal of . Motivated by the multiplication of two ideals, then can be defined a multiplication module, a special module which every
W.M. Patty, Henry +3 more
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Projection Invariant-Extending Property on Dominant Submodules
, 2022 A well known generalization of the extending concept is projection invariant extending property. In this trend, a module is called 7r-extending if every projection invariant submodule is essential in a direct summand of the module.
TERCAN, ADNAN +2 more
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, 2013 Let M-R be a module with S = End(M-R). We call a submodule K of M-R annihilator-small if K + T = M, T a submodule of M-R, implies that l(S)(T) = 0, where l(S) indicates the left annihilator of T over S.
Keskin-Tutuncu, D., AMOUZEGAR-KALATI, T.
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The graded annihilating submodule graph
AKCE International Journal of Graphs and CombinatoricsIn this paper, we study the graded annihilating graph for submodules, representing graded submodules as vertices connected by edges following a specific pattern. Our exploration leads us through the intricacies of this graph, uncovering insights into their connectivity, girth, bipartition, and completeness within graded modules, establishing ...
Mamoon Ahmed, Fida Moh'd
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Trace ideal and annihilator of Ext and Tor of regular fractional ideals, and some applications
, 2022 Given a commutative Noetherian ring $R$ with total ring of fractions $Q(R)$, and a finitely generated $R$-submodule $M$ of $Q(R)$, we prove an equality between trace ideal, and certain annihilator of Ext and Tor of $M$. As a consequence, we answer in one-
Dey, Souvik
core
Modules with Copure Intersection Property
پژوهشهای ریاضی, 2020 Paper pages (271-276) Introduction Throughout this paper, will denote a commutative ring with identity and will denote the ring of integers. Let be an -module. A submodule of is said to be pure if for every ideal of . has the copure sum property
doaj
, 1971 If I is a right ideal of a ring R, I is said to be an annihilator right ideal provided that there is a subset S in R such thatI is said to be injective if it is injective as a submodule of the right regular R-module RR.
A. C. Mewborn, Kwangil Koh
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The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
Annihilating submodule graph for modules
Transactions on Combinatorics, 2017 Summary: Let \(R\) be a commutative ring and \(M\) an \(R\)-module. In this article, we introduce a new generalization of the annihilating-ideal graph of commutative rings to modules. The annihilating submodule graph of \(M\), denoted by \(\mathbb{G}(M)\), is an undirected graph with vertex set \(\mathbb{A}^*(M)\) and two distinct elements \(N\) and ...
openaire +2 more sources