Displaying similar documents to “Finiteness properties of local cohomology modules (an application of D-modules to Commutative Algebra).”

Relative Buchsbaumness of bigraded modules

Keivan Borna, Ahad Rahimi, Syrous Rasoulyar (2012)

Colloquium Mathematicae

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We study finitely generated bigraded Buchsbaum modules over a standard bigraded polynomial ring with respect to one of the irrelevant bigraded ideals. The regularity and the Hilbert function of graded components of local cohomology at the finiteness dimension level are considered.

Complexity and periodicity

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...

Limits of tilting modules

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.