Two-sided properties of elements in exchange rings.

DOI10.1007/s10468-015-9524-0zbMath1337.16007OpenAlexW1991129654MaRDI QIDQ495874

Dinesh Khurana, Pace P. Nielsen, Tsit-Yuen Lam

Publication date: 15 September 2015

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-015-9524-0

zbMATH Keywords

idempotentsendomorphism ringsexchange ringsexchange elementsexchange modulessuitable elementstwo-sided properties

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) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

A symmetric generalization of \(\pi\)-regular rings, Symmetries in idempotent factorizations, A generalization of -regular rings, Exchange elements in rings, and the equation $XA-BX=I$

Cites Work

• Continuous modules are clean.
• Algebras over zero-dimensional rings
• Separative cancellation for projective modules over exchange rings
• Die Theorie der Automorphismenringe Abelscher Gruppen und ihr Analogon bei nicht kommutativen Gruppen
• Strong lifting.
• Exchange rings and decompositions of modules
• Exchange elements in rings, and the equation $XA-BX=I$
• Lifting Idempotents and Exchange Rings
• Strongly clean rings and fitting's lemma
• On exchange rings
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