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On the asymptotic behaviour of associated primes of generalized local cohomology modules

Part of: Local theory Commutative algebra: Homological methods General commutative ring theory

Published online by Cambridge University Press:  09 April 2009

Kazem Khashyarmaneshs  and
Ahmad Abbasi
Kazem Khashyarmaneshs
Affiliation:
Fedowsi University of MashhadDepartment of MathematicsP.O. Box 1159–91775Mashhad Iran and Institute for Studies in Theoretical Physics and MathematicsP.O. Box 19395–5746TehranIrankhashyar@ipm.ir
Ahmad Abbasi
Affiliation:
Guilan UniversityDepartment of MathematicsP.O. Box 41335–1914RashtIran, aabbasi@guilan.ac.ir
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Abstract

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Let M and N be finitely generated and graded modules over a standard positive graded commutative Noetherian ring R, with irrelevant ideal R+. Let be the nth component of the graded generalized local cohomology module . In this paper we study the asymptotic behavior of Assf R+ () as n → –∞ whenever k is the least integer j for which the ordinary local cohomology module is not finitely generated.

MSC classification

Secondary: 13D45: Local cohomology 13A02: Graded rings 14B15: Local cohomology
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 83 , Issue 2 , October 2007 , pp. 217 - 226
Copyright
Copyright © Australian Mathematical Society 2007

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