The polarity along an element in rings

DOI10.1216/rmj.2023.53.937OpenAlexW4385079453MaRDI QIDQ6134926

Huihui Zhu, Yao-yao Song, Dijana Mosić

Publication date: 23 August 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-3/THE-POLARITY-ALONG-AN-ELEMENT-IN-RINGS/10.1216/rmj.2023.53.937.full

zbMATH Keywords

Moore-Penrose inversesDrazin inversesgroup inversesinverses along an elementpolar elementswell-supported elements

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Additive and product properties of Drazin inverses of elements in a ring
• On generalized inverses and Green's relations
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• Moore-Penrose inverse in rings with involution
• Centralizer's applications to the inverse along an element
• Centralizers and their applications to generalized inverses
• Further results on the inverse along an element in semigroups and rings
• The inverse along an element in rings
• Generalized inverses modulo ℋ in semigroups and rings
• The inverse along an element in rings with an involution, Banach algebras and -algebras
• Pseudo-Inverses in Associative Rings and Semigroups
• Core inverse of matrices
• A generalized Drazin inverse
• Elements of rings with equal spectral idempotents
• Further results on several types of generalized inverses
• The Moore-Penrose inverse in rings with involution
• One-sided w-core inverses in rings with an involution

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