Sums of units in self-injective rings

DOI10.1142/S0219498814500200zbMath1301.16043WikidataQ114072541 ScholiaQ114072541MaRDI QIDQ5420689

Dinesh Khurana, Pace P. Nielsen, Anjana Khurana

Publication date: 13 June 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

sums of unitsright self-injective ringsforbidden factor rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

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Cites Work

• Classes of modules with the exchange property
• Algebraically compact rings and modules
• Exercises in classical ring theory.
• Two classes of rings generated by their units
• Block diagonalization and $2$-unit sums of matrices over Prüfer domains
• RIGHT SELF-INJECTIVE RINGS IN WHICH EVERY ELEMENT IS A SUM OF TWO UNITS
• 2-GOOD RINGS
• Unit sum numbers of right self-injective rings
• An Ideal-Theoretic Characterization of the Ring of All Linear Transformations