Unit-regularity and representability for semiartinian $*$-regular rings

DOI10.5817/AM2020-1-43MaRDI QIDQ5218963

Christian Herrmann

Publication date: 6 March 2020

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13367

zbMATH Keywords

representableunit-regular\(*\)-regular ring

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

• Quadratic forms in infinite dimensional vector spaces
• \(\mathbf K_0\) of semiartinian von Neumann regular rings. Direct finiteness versus unit-regularity
• Direct finiteness of representable regular \(\ast\)-rings
• Varieties of \(\ast\)-regular rings
• Rings of quotients of finite \(AW^{\ast}\)-algebras: representation and algebraic approximation
• Linear representations of regular rings and complemented modular lattices with involution
• A uniform refinement property for congruence lattices
• On the equational theory of projection lattices of finite von neumann factors
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