Deficiently extremal Gorenstein algebras |
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| Authors: | PAVINDER SINGH |
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| Affiliation: | (1) Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA;(2) Department of Mathematics, Syracuse University, Syracuse, NY 13244-1150, USA |
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| 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. |
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