A topological approach to Morita equivalence for rings with local units

DOI10.1216/rmjm/1181072737zbMath0804.16043OpenAlexW2015747335MaRDI QIDQ1201193

Gene D. Abrams, László Márki, Ánh, Phạm Ngọc

Publication date: 17 January 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072737

zbMATH Keywords

idempotentsMorita equivalent ringsring topologyring with local unitsdirect sum of discrete modulestopological direct summandtopologically projective rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Topological and ordered rings and modules (16W80)

Related Items (8)

Morita equivalence and tensor product rings ⋮ \(\ast\)-isomorphism of Leavitt path algebras over \(\mathbb{Z}\) ⋮ Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph 𝐶*-algebras and Leavitt path algebras ⋮ Classifying Leavitt path algebras up to involution preserving homotopy ⋮ Classification of unital simple Leavitt path algebras of infinite graphs. ⋮ Unnamed Item ⋮ Isomorphism and Morita equivalence of graph algebras ⋮ Perfect Rings: A Local Approach

Cites Work

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• Morita equivalence for rings without identity
• Rees matrix rings
• Rings all of whose finitely generated modules are injective
• Morita equivalence for rings with local units
• On Rings whose Left Modules are Direct Sums of Finitely Generated Modules
• Development of Vector Analysis from Quaternions

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