Finiteness conditions and infinite matrix rings

DOI10.1090/S0002-9939-05-08090-1zbMath1101.16022OpenAlexW1999981701MaRDI QIDQ3372105

Juan Jacobo Simón, Ángel Del Río

Publication date: 17 February 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08090-1

zbMATH Keywords

endomorphism ringsrings of row and column finite matricesleft Artinian ringsquasi-Frobenius ringsleft Noetherian rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Quasi-Frobenius rings (16L60) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

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• Morita equivalence for rings without identity
• Dual vector spaces
• The exchange property for row and column-finite matrix rings.
• The structure of countably generated projective modules over regular rings
• Algebraists’ Homage: Papers in Ring Theory and Related Topics
• Morita equivalence for rings with local units
• Picard groups and infinite matrix rings
• The Jacobson Radical of the Endomorphism Ring of a Projective Module
• Relating properties of a ring and its ring of row and column finite matrices

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