Morita-equivalent rings are isomorphic

DOI10.1007/BF01224938zbMath0418.16023MaRDI QIDQ755647

Luc Bonami

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

endomorphism rings of infinite free modulesequivalent module categoriesMorita-equivalent rings

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50)

Related Items

Isomorphisms between endomorphism rings of projective modules ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Finitely generated projective modules over row and column finite matrix rings

Cites Work

• Unnamed Item
• Projective modules
• Some remarks on the invariant basis property
• Direkte Produkte von freien Moduln
• Big projective modules are free