Row and column finite matrices

DOI10.1090/S0002-9939-07-08790-4zbMath1143.16029OpenAlexW1979199484MaRDI QIDQ5291910

Pace P. Nielsen

Publication date: 19 June 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08790-4

zbMATH Keywords

endomorphism ringsvector spacesright Noetherian ringsrow and column finite matricessimultaneous conjugation of matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21) Noetherian rings and modules (associative rings and algebras) (16P40)

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Cites Work

• The exchange property for row and column-finite matrix rings.
• Free and residually artinian regular rings
• A New Measure of Growth for Countable-Dimensional Algebras. I
• Isomorphisms of row and column finite matrix rings
• Countable linear transformations are clean
• Gromov translation algebras over discrete trees are exchange rings
• Relating properties of a ring and its ring of row and column finite matrices