Results 21 to 30 of about 571,712 (128)

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.
openaire   +2 more sources

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
openaire   +2 more sources

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  

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
core   +1 more source

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
openaire   +3 more sources

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, E. W. Johnson, Monty B. Taylor   +2 more
core   +1 more source

Cofinite modules and cofiniteness of local cohomology modules

Revista de la Unión Matemática Argentina
All 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, Khaksari, Ahmad, Shirazipour, Mohammad   +2 more
openaire   +2 more sources

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 ...
openaire   +1 more source

Cofinite graphs and their profinite completions

, 2013
Electronic Thesis or DissertationWe generalize the work of B. Hartley, to the category of topological graphs. The completion of a topological group in Hartley's work can be thought of as a particular example of the completion of a general uniform space ...
Das, Bikash Chandra
core   +2 more sources

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
wiley   +1 more source