Results 21 to 30 of about 482,834 (118)
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
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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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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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Tilting modules and Gorenstein rings
, 2006 We apply tilting theory to study modules of finite projective dimension. We introduce the notion of finite and cofinite type for tilting and cotilting classes of modules, respectively, showing that, for each dimension, there is a bijection between these ...
ANGELERI, LIDIA, HERBERA D., TRLIFAJ J.
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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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On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
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Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This paper investigates the application of β‐open sets to the convergence analysis of nonautonomous evolution equations governed by maximal monotone operators in Hilbert spaces. β‐open sets are a class of generalized open sets introduced by Njåstad (1965), which coincides with the class of semiopen sets by Levine (1963).
Boushra Abbas, Simeon Reich
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