• Deficiently Extremal Gorenstein Algebras

• Fulltext

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

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

• Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019