Results 11 to 20 of about 412,769 (93)
Lattice modules having small cofinite irreducibles [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We introduce the concept of small cofinite irreducibles in Noetherian lattice modules and obtain several characterizations of this property.
E. W. Johnson +2 more
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On the dimension of cofinite modules
, 2023 Let $I$ be an ideal of a commutative Noetherian complete local ring $R$. In the present paper, we establish the equality $\dim R/(I+\Ann_R M)=\dim M$ for all $I$-cofinite $R$-modules $M$.
Zargar, Majid Rahro, Ghasemi, Ghader
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The group of endotrivial modules in the normal case. [PDF]
, 2007 The group of endotrivial modules has recently been determined for a finite group having a normal Sylow $p$-subgroup. In this paper, we give and compare three different presentations of a torsion-free subgroup of maximal rank of the group of endotrivial ...
Mazza, Nadia
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Endotrivial modules in the cyclic case. [PDF]
, 2007 The purpose of this note is to determine all endotrivial modules in prime characteristic~$p$, for a finite group having a cyclic Sylow $p$-subgroup.
Mazza, Nadia, Thevenaz, Jacques
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Hartshorne's question on cofinite complexes [PDF]
, 2022 Let $\mathfrak{a}$ be a proper ideal of a commutative noetherian ring $R$ and $d$ a positive integer. We answer Hartshorne's question on cofinite complexes completely in the cases $\mathrm{dim}R=d$ or $\mathrm{dim}R/\mathfrak{a}=d-1$ or $\mathrm{ara ...
Yang, Xiaoyan, Shen, Jingwen
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On generalization of ⊕-cofinitely supplemented modules [PDF]
Ukrainian Mathematical Journal, 2010 We study the properties of ⊕-cofinitely radical supplemented modules, or, briefly, cgs ⊕-modules. It is shown that a module with summand sum property (SSP) is cgs ⊕ if and only if M/w Loc⊕ M (w Loc⊕ M is the sum of all w-local direct summands of a module M ...
Nisanci, B., Pancar, A.
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Extension Functors of Generalized Local Cohomology Modules
پژوهشهای ریاضی, 2021 Introduction Throughout this paper, is a commutative Noetherian ring with non-zero identity, is an ideal of , is a finitely generated -module, and is an arbitrary -module which is not necessarily finitely generated.
Alireza Vahidi +2 more
doaj
Small Cofinite Irreducibles [PDF]
, 1997 We study approximately Gorenstein rings and modules which have small cofinite irreducibles (SCI). We give a criterion for a (not necessarily finitely generated) module over a local ring to have SCI via its Matlis dual.
Melkersson, Leif
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Cofinitely essential g-supplemented modules
Miskolc Mathematical Notes, 2022 Summary: Let \(M\) be an \(R\)-module. If every cofinite essential submodule of \(M\) has a g-supplement in \(M\), then \(M\) is called a cofinitely essential g-supplemented (or briefly cofinitely eg-supplemented) module. In this work, some properties of these modules are investigated.
Nebiyev, Celil, Ökten, Hasan Hüseyin
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, 2011 In this paper, we give some characterizations of FP-grinjective R-modules and graded right R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr-injective envelopes and FP-gr-injective covers.
Yang, Xiaoyan, Liu, Zhongkui
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