Relating properties of a ring and its ring of row and column finite matrices

DOI10.1006/jabr.2001.8901zbMath0991.16025OpenAlexW1967828819MaRDI QIDQ5952406

Victor P. Camillo, Juan Jacobo Simón, F. J. Costa-Cano

Publication date: 5 May 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8901

zbMATH Keywords

idempotentsannihilatorsrings of row and column finite matricessemisimple ringsBaer ringscoherent rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (5)

Row and column finite matrices ⋮ Relating properties of a ring with properties of matrix rings coming from Ornstein dual pairs ⋮ A new measure of growth for groups and algebras ⋮ Finiteness conditions and infinite matrix rings ⋮ Endomorphisms and product bases of the Baer-Specker group.

Cites Work

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• Dual vector spaces
• Finitely generated projective modules over row and column finite matrix rings
• Modules with decompositions that complement direct summands
• Some Properties of Rings Reflected in Endomorphism Rings of Free Modules
• Baer Endomorphism Rings and Closure Operators
• Composition of binary quadratic forms
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
• Endomorphism Rings of Projective Modules
• Regular Endomorphism Rings of Free Modules
• On Infinite-Dimensional Linear Spaces

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