In abstract algebra, Morita equivalence is a relationship defined between rings that preserves many ring-theoretic properties. More precisely two rings like R, S are Morita equivalent (denoted by ) if their categories of modules are additively equivalent (denoted by [a]).[2] It is named after Japanese mathematician Kiiti Morita who defined equivalence and a similar notion of duality in 1958.
- ^ Anderson & Fuller 1992, p. 262, Sec. 22.
- ^ Anderson & Fuller 1992, p. 251, Definitions and Notations.
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