Regular elements determined by generalized inverses

DOI10.1142/S0219498819501287zbMath1416.16010arXiv1806.10212OpenAlexW2964146766MaRDI QIDQ5230093

André Leroy, Surender Kumar Jain, Adel N. Alahmadi

Publication date: 20 August 2019

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

Full work available at URL: https://arxiv.org/abs/1806.10212

zbMATH Keywords

regular elementsgeneralized inverses

Mathematics Subject Classification ID

Center, normalizer (invariant elements) (associative rings and algebras) (16U70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (6)

A note on the right-left symmetry of aR ⊕ bR = (a + b)R in rings ⋮ A note on inner and reflexive inverses in semiprime rings ⋮ Regular morphisms in abelian categories ⋮ Inclusion properties of generalized inverses in semiprime rings ⋮ Invariance and parallel sums ⋮ TRIPLET INVARIANCE AND PARALLEL SUMS

Cites Work

• Right-left symmetry of \(aR\oplus bR=(a+b)R\) in regular rings
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