Noncommutative Complete Intersections
Ellen E Kirkman, James Kuzmanovich, James J. Zhang
TL;DR
This paper explores various generalizations of graded complete intersections from commutative to noncommutative algebras, supported by examples from noncommutative invariant theory.
Contribution
It introduces new notions of noncommutative complete intersections and justifies them through illustrative examples from invariant theory.
Findings
Proposes multiple generalizations of noncommutative complete intersections.
Provides examples from noncommutative invariant theory to support the concepts.
Justifies the proposed notions with theoretical and practical insights.
Abstract
Several generalizations of a commutative ring that is a graded complete intersection are proposed for a noncommutative graded -algebra; these notions are justified by examples from noncommutative invariant theory.
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