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      https://www.ias.ac.in/article/fulltext/pmsc/114/02/0103-0106

    • Keywords

       

      Regular sequence

    • Abstract

       

      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.

    • Author Affiliations

       

      D P Patil1 U Storch2 J Stückrad3

      1. Department of Mathematics, Indian Institute of Science, Bangalore - 560 012, India
      2. FakultÄt für Mathematik, Ruhr UniversitÄt Bochum, Bochum - D-44780, Germany
      3. FakultÄt für Mathematik und Informatik, UniversitÄt, Leipzig, Leipzig - D-04109, Germany
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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