TL;DR
This paper extends Morita theory to super rings, providing a framework for understanding equivalences in super algebra structures, with applications to super Azumaya algebras.
Contribution
It develops the foundational aspects of super Morita theory and offers explicit equivalences for super Azumaya algebras.
Findings
Established super Morita equivalences for super rings.
Provided explicit descriptions for super Azumaya algebra cases.
Enhanced understanding of super algebraic structures.
Abstract
We develop the basics of Morita theory for super rings. As an application, we produce a more explicit super Morita equivalence in the case of super Azumaya algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras