Strongly J-clean matrices over 2-projective-free rings

2014/09/13 by Marjan Sheibani Abdolyousefi, Abdolyousefi, Marjan Sheibani, Hunyin Chen +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA

paper · pdf · doi:10.48550/arxiv.1409.3974

openalex publication_date 2014/09/13 · arxiv created 2014/10/28 · arxiv updated 2014/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An element a in a ring R is strongly J-clean if it is the sum of an idempotent and an element in the Jacobson radical that commutes. We characterize the strongly J-clean 2× 2 matrices over 2-projective-free non-commutative rings.

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