Extensions of Rings with Many Units

DOI10.1081/AGB-120019003zbMath1025.16007MaRDI QIDQ4807588

Huanyin Chen

Publication date: 19 May 2003

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

zbMATH Keywords

idempotentssums of unitsstable range conditionsmatrix extensions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Grothendieck groups, (K)-theory, etc. (16E20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Extensions of Unit1-Stable Range

Cites Work

• Stable range one for rings with many units
• Separative cancellation for projective modules over exchange rings
• Exchange rings with Artinian primitive factors
• Two classes of rings generated by their units
• UNITS, IDEMPOTENTS, AND STABLE RANGE CONDITIONS
• KRULL-SCHMIDT THEOREM AND HOMOGENEOUS SEMILOCAL RINGS
• EXCHANGE RINGS SATISFYING UNIT 1-STABLE RANGE
• On strongly πregular rings and homomorphisms into them
• Strongly 𝜋-regular rings have stable range one
• On abelian π-regular rings
• On stable range conditions
• Onm-fold stable exchange rings
• Stable Range One for Rings with many Idempotents