CHARACTERIZATIONS OF ANNIHILATOR (b, c)-INVERSES IN ARBITRARY RINGS

DOI10.17654/NT046020165zbMath1480.16068OpenAlexW3035765271MaRDI QIDQ5036079

Heng Gao, Fujia Chang, Chong-Quan Zhang

Publication date: 23 February 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/nt046020165

zbMATH Keywords

generalized inversebicommutantone-sided inverse

Mathematics Subject Classification ID

Radicals and radical properties of associative rings (16N99) Generalized inverses (associative rings and algebras) (16U90)

Cites Work

• Unnamed Item
• Left and right generalized inverses
• On generalized inverses and Green's relations
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• A class of outer generalized inverses
• Generalized inverses: uniqueness proofs and three new classes
• Further results on the inverse along an element in semigroups and rings
• Commuting properties of generalized inverses
• Pseudo core inverses in rings with involution
• Further results on several types of generalized inverses
• On the (b,c)-inverse in rings
• Weighted pseudo core inverses in rings
• A note on Cline’s formula for the generalized Drazin inverse
• New results on (b, c)–inverses
• Bicommuting properties of generalized inverses

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