Theorem detail

Alias: Artinian, Noetherian, semisimple, semiprimitive, primitive are Morita invariant

Statement: If R and S are Morita equivalent rings, then R is semisimple, left artinian, left noetherian, primitive or a ring with zero radical iff S is. (Left can be replaced with right everywhere.)

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Reference(s)

  • Anderson, Frank W.; Fuller, Kent R. , Rings And Categories Of Modules, Vol. 13. Springer, (1992). Corollary 21.9 P 258