Certain additive decompositions in a noncommutative ring

DOI10.21136/CMJ.2022.0039-22OpenAlexW4288453302MaRDI QIDQ5878461

Rahman Bahmani, Marjan Sheibani Abdolyousefi, Huanyin Chen

Publication date: 21 February 2023

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2022.0039-22

zbMATH Keywords

power seriesnilpotent matrixquadratic equationidempotent matrixprojective-free ring

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

• Unnamed Item
• Unnamed Item
• Strongly clean matrices over arbitrary rings.
• Strong cleanness of the \(2\times 2\) matrix ring over a general local ring.
• Commutative weakly nil clean unital rings.
• StronglyJ-Clean Matrices Over Local Rings
• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• A Note on Strongly Clean Matrix Rings
• Generalized inverses and their relations with clean decompositions
• Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical

This page was built for publication: Certain additive decompositions in a noncommutative ring