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Morita equivalence
In abstract algebra, Morita equivalence is a relationship defined between rings that preserves many ring-theoretic properties. More precisely, two rings R, S are Morita equivalent (denoted by R ≈ S {\displaystyle R\approx S} ) if their categories of modules are additively equivalent (denoted by R M ≈ S M {\displaystyle {}_{R}M\approx {}_{S}M} ). It is…
Properties preserved by equivalence, Criteria for equivalence & Further directions