A criterion for regular sequences

Patil, DP and Storch, U and Stuckrad, J (2004) A criterion for regular sequences. In: Proceedings Mathematical Sciences, 114 (2). 103–106.

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Abstract

Let R be a commutative noetherian ring and $f_1,..., f_r$ $\in R$. In this article we give (cf. the Theorem in $\S2$) a criterion for $f_1,..., f_r$ to be regular sequence for a finitely generated module over R which strengthens and generalises a result in [2]. As an immediate consequence we deduce that if V$(g_1,..., g_r)$ $\subseteq V$$(f_1,..., f_r)$ in Spec R and if $f_1,..., f_r$ is a regular sequence in R, then $g_1,..., g_r$ is also a regular sequence in R.

Item Type:	Journal Article
Publication:	Proceedings Mathematical Sciences
Publisher:	Indian Academy of Sciences
Additional Information:	This article copyright belongs to Indian Academy of Sciences.
Keywords:	Regular sequence.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	28 Jun 2007
Last Modified:	17 Jan 2012 06:56
URI:	http://eprints.iisc.ac.in/id/eprint/11293

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