Commutators and Anti-Commutators of Idempotents in Rings

DOI10.1090/conm/715/14413zbMath1433.16043arXiv1808.02308OpenAlexW2885278120MaRDI QIDQ4961949

Dinesh Khurana, Tsit-Yuen Lam

Publication date: 29 October 2018

Published in: Advances in Rings and Modules (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02308

zbMATH Keywords

unitsidempotentsmatrix ringscommutatorsexchange ringscommutative ringsBott-Duffin inversesimple Artinian ringsanti-commutators

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Matrices of integers (15B36) Skew fields, division rings (12E15) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Idempotent elements (associative rings and algebras) (16U40)

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