Results 81 to 90 of about 571,712 (128)

Cofinitely \delta-supplemented and cofinitely \delta-semiperfect modules

International Journal of Algebra, 2007
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Cofinitely supplemented modules

, 1999
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Weakly cofinitely supplemented modules

, 2001
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Cofiniteness of torsion functors of a pair of cofinite modules

Communications in Algebra, 2021
Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules Tor i R ( N , M ) are I-cofinite for all i ≥ 0 if M and N are I-cofinite R-modules and N is of dimension at most...
Kamal Bahmanpour
exaly   +2 more sources

On Modules Having Small Cofinite Irreducibles

Canadian Mathematical Bulletin, 1994
AbstractIn this paper we obtain several new characterizations of modules having small cofinite irreducibles. One of these characterizations involves a metric topology defined on the submodule lattice.
Johnson, E. W., Johnson, Johnny A., Taylor, Monty B.   +2 more
openaire   +3 more sources

On a category of cofinite modules which is Abelian

Mathematische Zeitschrift, 2010
Let \(I\) be an ideal of a commutative noetherian local ring \((R,\mathfrak{m})\) and \(M\) a finitely generated \(R\)-module. In 1968, \textit{A. Grothendieck} [Séminaire de géométrie algébrique: Cohomologie locale des faisceaux cohérents et théoremes de Lefschetz locaux et globaux (1962; Zbl 0159.50402)] has conjectured that \(\Hom_R(R/I,H_{I}^i(M))\)
Ken-Ichiroh Kawasaki
exaly   +3 more sources

COFINITE MODULES

Communications in Algebra, 2001
Siamak Yassemi
exaly   +2 more sources

Cofinite modules and local cohomology [PDF]

Journal of Pure and Applied Algebra, 1997
We show that if M is a finitely generated module over a commutative Noetherian local ring R and I is a dimension one ideal of R (i.e., dimRI = 1), then the local cohomology modules HIi(M) are I-cofinite; that is, ExtRj(RI, HIi(M)) is finitely generated ...
Donatella Delfino, Delfino, Donatella, Thomas Marley, Marley, Thomas   +3 more
exaly   +2 more sources

Cofinitely semiperfect modules

Siberian Mathematical Journal, 2005
Summary: It is well known that a projective module \(M\) is \(\oplus\)-supplemented if and only if \(M\) is semiperfect. We show that a projective module \(M\) is \(\oplus\)-cofinitely supplemented if and only if \(M\) is cofinitely semiperfect or briefly cof-semiperfect (i.e., each finitely generated factor module of \(M\) has a projective cover).
Çalışıcı, Hamza, Pancar, Ali
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On Cofinitely Lifting Modules

Algebra Colloquium, 2010
Let R be a ring and M a right R-module. M is called a cofinitely lifting module if for any cofinite submodule N of M, there exists a direct summand K of M such that K ≤ N and N/K ≪ M/K. It is proved that every cofinite direct summand of a cofinitely lifting module is cofinitely lifting. For a cofinitely lifting module M and a fully invariant submodule
Wang, Yongduo, Wu, Dejun
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