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

• Autores: Kazem Khashyarmanesh, Ahmad Abbasi
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 83, Nº 2, 2007, págs. 217-226
• Idioma: inglés
• DOI: 10.1017/s1446788700036879
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• Resumen

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