EXCHANGE MORITA RINGS

DOI10.1081/AGB-100001551zbMath1008.16011OpenAlexW2130569624MaRDI QIDQ2749069

Mercedes Siles Molina, Margarita Compañy Cabezos, Miguel Gómez Lozano

Publication date: 9 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-100001551

zbMATH Keywords

idempotentsMorita contextslocal ringsexchange ringsvon Neumann regular elementsMorita ringsexchange idealsexchange associative pairs

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (5)

Modules over formal matrix rings. ⋮ On stable range one property and strongly \(\pi\)-regular rings ⋮ Symmetries in idempotent factorizations ⋮ Connections Techniques in Graded Morita Rings Theory ⋮ Local rings of rings of quotients.

Cites Work

• Jordan pairs
• Algebras over zero-dimensional rings
• Morita equivalence based on contexts for various categories of modules over associative rings
• Extensions of exchange rings
• Elementary groups and stability for Jordan pairs
• Refinements for infinite direct decompositions of algebraic systems
• Exchange rings and decompositions of modules
• Von Neumann regularity in Jordan triple systems
• Goldie theorems for associative pairs
• Local rings of exchange rings

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