F-modules: applications to local cohomology and D-modules in characteristic p>0.
Gennady Lyubeznik (1997)
Journal für die reine und angewandte Mathematik
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Gennady Lyubeznik (1997)
Journal für die reine und angewandte Mathematik
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Gennady Lyubeznik (1993)
Inventiones mathematicae
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Kei-ichi Watanabe, Nobuo Hara (1996)
Manuscripta mathematica
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Santiago Zarzuela (2002)
Banach Center Publications
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N. Zamani (2003)
Colloquium Mathematicae
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We study, in certain cases, the notions of finiteness and stability of the set of associated primes and vanishing of the homogeneous pieces of graded generalized local cohomology modules.
Petter Andreas Bergh (2006)
Colloquium Mathematicae
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Let M be a finitely generated module over an Artin algebra. By considering the lengths of the modules in the minimal projective resolution of M, we obtain the Betti sequence of M. This sequence must be bounded if M is eventually periodic, but the converse fails to hold in general. We give conditions under which it holds, using techniques from Hochschild cohomology. We also provide a result which under certain conditions guarantees the existence of periodic modules. Finally, we study...
C. Huneke, G. Lyubeznik (1990)
Inventiones mathematicae
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Maria Joiţa, Mohammad Sal Moslehian (2012)
Studia Mathematica
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We introduce a notion of Morita equivalence for Hilbert C*-modules in terms of the Morita equivalence of the algebras of compact operators on Hilbert C*-modules. We investigate the properties of the new Morita equivalence. We apply our results to study continuous actions of locally compact groups on full Hilbert C*-modules. We also present an extension of Green's theorem in the context of Hilbert C*-modules.
M. Van den Bergh (1991)
Inventiones mathematicae
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Huru, H.L. (2006)
Lobachevskii Journal of Mathematics
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H. Ansari-Toroghy, R. Ovlyaee-Sarmazdeh (2010)
Colloquium Mathematicae
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Let R be a commutative ring with identity. The purpose of this paper is to introduce two new classes of modules over R, called Ms modules and fulmaximal modules respectively. The first (resp. second) class contains the family of finitely generated and primeful (resp. finitely generated and multiplication) modules properly. Our concern is to extend some properties of primeful and multiplication modules to these new classes of modules.
Bruno Angles (1997)
Manuscripta mathematica
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Leonard L. Scott, George S. Avrunin (1982)
Inventiones mathematicae
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Benson, David (2001)
The New York Journal of Mathematics [electronic only]
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D. D. Anderson (1977)
Colloquium Mathematicae
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Clezio A. Braga, Flávio U. Coelho (2009)
Colloquium Mathematicae
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We study the problem of when a direct limit of tilting modules is still a tilting module.
Enrico Sbarra (2004)
Rendiconti del Seminario Matematico della Università di Padova
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R. García López, C. Sabbah (1998)
Collectanea Mathematica
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We express the Lyubeznik numbers of the local ring of a complex isolated singularity in terms of Betti numbers of the associated real link.