Suitable elements, -clean elements and Sylvester equations in rings with involution

DOI10.1080/00927872.2021.1985129zbMath1495.16039OpenAlexW3209524698MaRDI QIDQ5061596

Liyun Wu, Huihui Zhu, Qing-Wen Wang

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1985129

zbMATH Keywords

Sylvester equation*-clean elements*-regular elements*-suitable elements

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

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• \(*\)-clean rings; some clean and almost clean Baer \(*\)-rings and von Neumann algebras.
• Centralizer's applications to the inverse along an element
• About the group inverse and Moore-Penrose inverse of a product
• Further results on the inverse along an element in semigroups and rings
• Exchange elements in rings, and the equation $XA-BX=I$
• Moore–Penrose invertibility in involutory rings: the case aa ^†=bb ^†
• Lifting Idempotents and Exchange Rings
• Strongly clean rings and fitting's lemma
• On exchange rings
• The group inverse of a companion matrix
• Special clean elements in rings
• A Characterization of Exchange Rings

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