Projections generated by Moore–Penrose inverses and core inverses

DOI10.1142/S0219498821500274zbMath1492.16042OpenAlexW2996129924MaRDI QIDQ4988214

Huihui Zhu, Fei Peng

Publication date: 12 May 2021

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

Full work available at URL: https://doi.org/10.1142/s0219498821500274

zbMATH Keywords

Moore-Penrose inversecore inversesharp partial orderEP element

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Generalized inverses (associative rings and algebras) (16U90)

Related Items

One-sided w-core inverses in rings with an involution ⋮ On forward-order law for core inverse in rings ⋮ Idempotents generated by weighted generalized inverses in rings with involution

Cites Work

• Group, Moore-Penrose, core and dual core inverse in rings with involution
• Moore-Penrose inverse in rings with involution
• EP elements in rings.
• On group inverses and the sharp order
• Generalized invertibility in two semigroups of a ring.
• New characterizations for core inverses in rings with involution
• Drazin-Moore-Penrose invertibility in rings
• Reverse order law for the inverse along an element
• Matrices for whichA^∗andA^†commute
• Moore–Penrose invertibility in involutory rings: the case aa ^†=bb ^†
• Core inverse of matrices
• Lectures in Abstract Algebra I
• Elements of rings with equal spectral idempotents
• Projections for generalized inverses
• On DMP inverses and m-EP elements in rings
• Several characterizations for generalized inverses in a ring
• Characterizations and Representations of Core and Dual Core Inverses
• Unnamed Item
• Unnamed Item