• U Storch

      Articles written in Proceedings – Mathematical Sciences

    • A criterion for regular sequences

      D P Patil U Storch J Stückrad

      More Details Abstract Fulltext PDF

      LetR be a commutative noetherian ring and ƒ1, …, ƒr ∃ R. In this article we give (cf. the Theorem in §2) a criterion for ƒ1, …, ƒr to be regular sequence for a finitely generated module overR which strengthens and generalises a result in [2]. As an immediate consequence we deduce that if V(g1, …,gr) ⊆ V(ƒ1, …, ƒr) in SpecR and if ƒ1, …, ƒr is a regular sequence inR, theng1, …,gr is also a regular sequence inR.

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