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Deficiently extremal Cohen-Macaulay algebras
Authors:Chanchal Kumar  Pavinder Singh
Institution:1.Department of Mathematics,University of Jammu,Jammu,India
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.
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