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arXiv · 2205.07152

Morita equivalence for graded rings

Gene Abrams·Efren Ruiz·Mark Tomforde
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Abstract

The classical Morita Theorem for rings established the equivalence of three statements, involving categorical equivalences, isomorphisms between corners of finite matrix rings, and bimodule homomorphisms. A fourth equivalent statement (established later) involves an isomorphism between infinite matrix rings. In our main result, we establish the equivalence of analogous statements involving graded categorical equivalences, graded isomorphisms between corners of finite matrix rings, graded bimodule homomorphisms, and graded isomorphisms between infinite matrix rings.

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Gene Abrams, Efren Ruiz, Mark Tomforde. 2022-05-14. Morita equivalence for graded rings. https://arxiv.org/abs/2205.07152

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