2011•Canadian Mathematical BulletinOpen access

A Note on Homological Dimensions of Artinian Local Cohomology Modules

Kamal Bahmanpour

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Abstract

Abstract. Let (R,m) be a non-zero commutative Noetherian local ring (with identity) and let M be a non-zero finitely generated R-module. In this paper for any p 2 Spec(R) we show that are bounded fromabove by injdimR and respectively, for all integers i ≥ dim(R/p).

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Abstract. Let (R,m) be a non-zero commutative Noetherian local ring (with identity) and let M be a non-zero finitely generated R-module. In this paper for any p 2 Spec(R) we show that are bounded fromabove by injdimR and respectively, for all integers i ≥ dim(R/p).

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Abstract. Let (R,m) be a non-zero commutative Noetherian local ring (with identity) and let M be a non-zero finitely generated R-module. In this paper for any p 2 Spec(R) we show that are bounded fromabove by injdimR and respectively, for all integers i ≥ dim(R/p).

Key concepts: Mathematics, Local cohomology, Noetherian ring, Zero (linguistics), Pure mathematics, Local ring, Noetherian, Commutative ring

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