Results 21 to 30 of about 645,410 (117)
Some results on the cofiniteness of local cohomology modules [PDF]
, 2012 summary:Let $R$ be a commutative Noetherian ring, $\mathfrak {a}$ an ideal of $R$, $M$ an $R$-module and $t$ a non-negative integer. In this paper we show that the class of minimax modules includes the class of $\mathcal {AF}$ modules. The main result is
Mostaghim, Mahdi Hanifi +2 more
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Cofiniteness of local cohomology modules and subcategories of modules [PDF]
, 2023 Let $R$ be a commutative noetherian ring and $I$ an ideal of $R$. Assume that for all integers $i$ the local cohomology module $H_I^i(R)$ is $I$-cofinite.
Takahashi, Ryo, Wakasugi, Naoki
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Cofiniteness of extension functors of cofinite modules
Journal of Algebra, 2011 Let \(R\) be a commutative noetherian ring with identity. Let \(I\) be an ideal of \(R\) and \(M,N\) two \(R\)-modules. The paper under review investigates the \(I\)-cofiniteness of the Ext-modules \(\mathrm{Ext}_R^i(N,M)\). Recall that an \(R\)-module \(X\) is said to be \(I\)-cofinite if \(\mathrm{Supp}_RX\subseteq V(I)\) and \(\mathrm{Ext}_R^i(R/I,X)
Abazari, Rasoul, Bahmanpour, Kamal
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Lattice modules having small cofinite irreducibles [PDF]
, 2001 We introduce the concept of small cofinite irreducibles in Noetherian lattice modules and obtain several characterizations of this ...
Johnny A. Johnson +2 more
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Extension functors of generalized local cohomology modules and Serre subcategories
پژوهشهای ریاضی, 2022 In this paper we present several results concerning the cofiniteness of generalized local cohomology modules.
Kamal Bahmanpour
doaj
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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ON A GENERALIZATION OF COFINITELY LIFTING MODULES [PDF]
International Journal of Pure and Apllied Mathematics, 2014 In this paper, we study on cofinitely Rad-lifting modules as a proper generalization of modules with the property (P?) and cofinitely lifting modules, and we obtain the properties of these modules. In particular, we prove that if M with the property (SSP) is a cofinitely Rad-lifting module, then M/N is a cofinitely Rad-lifting module for every direct ...
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Cofinite modules and cofiniteness of local cohomology modules
Revista de la Unión Matemática ArgentinaAll rings in this review are commutative with identity and all modules are unitary. Let \(R\) be a Noetherian ring with non-zero identity, \(\mathfrak{a}\) an ideal of \(R,\) \(M\) a finitely generated (or finite for short) \(R\)-module, \(X\) an arbitrary \(R\)-module, and \(n\) a non-negative integer.
Vahidi, Alireza +2 more
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On cofinitely weak $\delta-$ supplemented modules [PDF]
Miskolc Mathematical Notes, 2017 Let R be a ring and M be a left R-module. M is called cofinitely weak delta-supplemented ( or briefly delta-CWS-module) if every cofinite submodule of M has a weak delta-supplement in M. In this paper, we give various properties of this kind of modules.
ERYILMAZ, Figen, EREN, Şenol
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, 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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