Adjoining a universal inner inverse to a ring element.
DOI10.1016/j.jalgebra.2015.11.008zbMath1338.16026arXiv1505.02312OpenAlexW2220437213MaRDI QIDQ907345
Publication date: 25 January 2016
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.02312
Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) 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) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)
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