On \(\aleph _ 0\)-injective regular rings

DOI10.1016/0022-4049(86)90073-3zbMath0594.16006OpenAlexW2034694932WikidataQ114215399 ScholiaQ114215399MaRDI QIDQ1076771

Pere Ara

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90073-3

zbMATH Keywords

von Neumann regular ringscountably infinite direct productregular right and left \(\aleph _ 0\)-injective ringsregular right and left self-injective ringsright \(\aleph _ 0\)-continuous factor rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Aleph-nought-continuous regular rings, Bezout and semihereditary power series rings., Subdirect products of injectives, ℵ0-Injective group rings

Cites Work

• Unnamed Item
• Directly finite aleph-nought-continuous regular rings
• Homomorphisms of C* algebras to finite AW* algebras
• The structure of the infinite general linear group
• Affine representations of Grothendieck groups and applications to Rickart 𝐶*-algebras and ℵ₀-continuous regular rings
• Dimension theory for nonsingular injective modules
• Artinian quotient rings of group rings