Reverse Order Law for the Group Inverse in Semigroups and Rings

DOI10.1080/00927872.2014.900562zbMath1323.15003OpenAlexW2026145720MaRDI QIDQ5256748

Xavier Mary

Publication date: 19 June 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2014.900562

zbMATH Keywords

Green's relationsgeneralized inversegroup inversefiniteness conditionsregular semigroupreverse order lawClifford semigroupDedekind-finite ring

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Regular semigroups (20M17) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (6)

Reverse order laws on the conditions of the commutativity up to a factor ⋮ Improvements on the reverse order laws ⋮ Reverse order laws for the generalized strong Drazin inverses ⋮ Absorption laws and reverse order laws for generalized core inverses ⋮ Reverse order law for the core inverse in rings ⋮ Epimorphisms, dominions and \(\mathcal{H}\)-commutative semigroups

Cites Work

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• On finite regular rings
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• Stability in semigroups
• Perfect monoids
• On the structure of semigroups
• Semigroups satisfying minimal conditions
• Pseudo-Inverses in Associative Rings and Semigroups
• Perfect semigroups
• On Weighted Reverse Order Laws for the Moore–Penrose Inverse andK-Inverses
• Representations for the Generalized Inverse of Sums of Matrices
• Note on the Generalized Inverse of a Matrix Product
• Generalized Radical Rings
• On Regular Rings

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