Results 1 to 10 of about 185 (137)
Torsion Functors of Local Cohomology Modules [PDF]
Algebras and Representation Theory, 2009 Through a study of torsion functors of local cohomology modules we improve some non-finiteness results on the top non-zero local cohomology modules with respect to an ideal.
Dibaei, Mohammad T., Vahidi, Alireza
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Associated primes of local cohomology modules [PDF]
Proceedings of the American Mathematical Society, 2004 7 pages, to appear in Proceedings of the American Mathematical ...
Divaani-Aazar, Kamran, Mafi, Amir
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Local Cohomology Modules and their Properties
Ukrainian Mathematical Journal, 2021 UDC 512.5 Let be a complete Noetherian local ring and let be a generalized Cohen-Macaulay -module of dimension We show thatwhere and is the ideal transform functor. Also, assuming that is a proper ideal of a local ring , we obtain some results on the finiteness of Bass numbers, cofinitness, and cominimaxness of local cohomology modules with ...
Azami, J., Hasanzad, M.
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The Support of Local Cohomology Modules [PDF]
International Mathematics Research Notices, 2017 We describe the support of $F$-finite $F$-modules over polynomial rings $R$ of prime characteristic. Our description yields an algorithm to compute the support of such modules; the complexity of our algorithm is also analyzed. To the best of our knowledge, this is the first algorithm to avoid extensive use of Gröbner bases and hence of substantial ...
Katzman, M., Zhang, W.
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Cominimaxness of local cohomology modules [PDF]
Czechoslovak Mathematical Journal, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bass Numbers of Local Cohomology Modules [PDF]
Transactions of the American Mathematical Society, 1993 Let A A be a regular local ring of positive characteristic. This paper is concerned with the local cohomology modules of A A itself, but with respect to an arbitrary ideal of A A . The results include that all the Bass numbers of all such local cohomology modules are finite, that each such local ...
Huneke, Craig L., Sharp, Rodney Y.
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Graded Components of Local Cohomology Modules II
Vietnam Journal of Mathematics, 2022 Section 10 has been ...
Puthenpurakal, Tony J., Roy, Sudeshna
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ARTINIANNESS OF LOCAL COHOMOLOGY MODULES OF ZD-MODULES [PDF]
Communications in Algebra, 2005 This paper centers around Artinianness of the local cohomology of $ZD$-modules. Let $\fa$ be an ideal of a commutative Noetherian ring $R$. The notion of $\fa$-relative Goldie dimension of an $R$-module $M$, as a generalization of that of Goldie dimension is presented.
Divaani-Aazar, Kamran +1 more
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Matlis duals of top Local cohomology modules [PDF]
Proceedings of the American Mathematical Society, 2007 In the first section of this paper we present generalizations of known results on the set of associated primes of Matlis duals of local cohomology modules; we prove these generalizations by using a new technique. In section 2 we compute the set of associated primes of the Matlis dual of $\LCMo ^{d-1}_J(R)$, where $R$ is a $d$-dimensional local ring and
Hellus, Michael, Stückrad, Jürgen
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$D$-module and $F$-module length of local cohomology modules [PDF]
Transactions of the American Mathematical Society, 2018 Let $R$ be a polynomial or power series ring over a field $k$. We study the length of local cohomology modules $H^j_I(R)$ in the category of $D$-modules and $F$-modules. We show that the $D$-module length of $H^j_I(R)$ is bounded by a polynomial in the degree of the generators of $I$.
Katzman, M. +3 more
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