The Nilpotent Regular Element Problem

DOI10.4153/CMB-2016-005-8zbMath1383.16007arXiv1509.08862OpenAlexW2962903503MaRDI QIDQ2827398

K. C. O'Meara, Pere Ara

Publication date: 19 October 2016

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08862

zbMATH Keywords

nilpotent elementunit-regularvon Neumann regular elementBergman's normal form

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (3)

Unit-regularity of regular nilpotent elements ⋮ Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings ⋮ A new setting for constructing von Neumann regular rings

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