• Deficiently Extremal Gorenstein Algebras

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      https://www.ias.ac.in/article/fulltext/pmsc/121/03/0259-0265

    • Keywords

       

      Extremal algebras; Stanley–Reisner rings; minimal resolutions; Betti numbers.

    • Abstract

       

      The aim of this article is to study the homological properties of deficiently extremal Gorenstein algebras. We prove that if $R/I$ is an odd deficiently extremal Gorenstein algebra with pure minimal free resolution, then the codimension of $R/I$ must be odd. As an application, the structure of pure minimal free resolution of a nearly extremal Gorenstein algebra is obtained.

    • Author Affiliations

       

      Pavinder Singh1

      1. Indian Institute of Science Education and Research, ITI Campus (Gas Rahat) Building, Govindpura, Bhopal 462 023, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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