Completion of diagrams by automorphisms and Bass' first stable range condition

DOI10.1006/jabr.1995.1255zbMath0839.16007OpenAlexW2076375096MaRDI QIDQ1902137

M. J. Canfell

Publication date: 28 May 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1255

zbMATH Keywords

endomorphism ringsfree modulesstable rangequasi-injective modulesquasi-projective modulescyclic right modulesepi-projectivityunique generation

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Stable range conditions (19B10)

Related Items (32)

Power-substitution,exchange rings and unit II-regularity ⋮ On two questions of Nicholson ⋮ Annihilator-stability and unique generation ⋮ Diagonalization of matrices over regular rings ⋮ Quasiunit regularity and \(QB\)-rings. ⋮ Perspective rings. ⋮ On Hermitian endomorphism rings ⋮ Unnamed Item ⋮ Power-Substitution and Exchange Rings ⋮ Unimodular Regularity, Stable Range, and Exchange Rings ⋮ Generalized Stable Exchange Rings ⋮ Endomorphisms of Progenerators over Exchange QB-Rings ⋮ On Exchange QB_∞-Rings ⋮ Rings of square stable range one ⋮ Left uniquely generated elements in rings ⋮ On the stable range of endomorphism rings of quasi-projective modules ⋮ ON A QUESTION OF HARTWIG AND LUH ⋮ Quasi-Invertible Regular Elements and Their Applications ⋮ A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE ⋮ Rings with internal cancellation. ⋮ OnQBEndomorphism Rings ⋮ The power-substitution condition of endomorphism rings of quasi-projective modules ⋮ Weakly Stable Modules ⋮ Lexicodes over finite principal ideal rings ⋮ On generalized stable rings ⋮ Exchange rings with stable range one ⋮ Unit-Regularity and Stable Range Conditions ⋮ Characterizations and Direct Sums of Unit-Endoregular Modules ⋮ Annihilator-stability and unique generation in C(X) ⋮ ANNIHILATOR-STABILITY AND TWO QUESTIONS OF NICHOLSON ⋮ On stable range conditions ⋮ Exchange rings having ideal-stable range one

This page was built for publication: Completion of diagrams by automorphisms and Bass' first stable range condition