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      https://www.ias.ac.in/article/fulltext/pmsc/120/02/0163-0168

    • Keywords

       

      Extremal algebras; Stanley–Reisner rings; Betti numbers.

    • Abstract

       

      The aim of this paper is to study homological properties of deficiently extremal Cohen–Macaulay algebras. Eagon–Reiner showed that the Stanley–Reisner ring of a simplicial complex has a linear resolution if and only if the Alexander dual of the simplicial complex is Cohen–Macaulay. An extension of a special case of Eagon–Reiner theorem is obtained for deficiently extremal Cohen–Macaulay Stanley–Reisner rings.

    • Author Affiliations

       

      Chanchal Kumar1 Pavinder Singh1 2

      1. Department of Mathematics, University of Jammu, Jammu 180 006, India
      2. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi Allahabad 211 019, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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