Defining the Notion of Complete Intersection for Regular Graded Skew Clifford Algebras

Details Defining the Notion of Complete Intersection for Regular Graded Skew Clifford Algebras Defining the Notion of Complete Intersection for Regular Graded Skew Clifford Algebras

2011-08-09

arxiv.org/abs/1108.1850v1

Mathematics

Rings and Algebras

Scientific paper

In recent work of T. Cassidy and the author, a notion of complete intersection was defined for regular skew polynomial rings, defining it using both algebraic and geometric tools. In this article, the definition is modified and extended to a larger class of algebras, namely regular graded skew Clifford algebras. Some of the ideas are also discussed for Auslander-Gorenstein algebras satisfying certain hypotheses.

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