2012/07/02 by Huanyin Chen, Chen, Huanyin, Abdullah Harmancı +5
Mathematics · #16E50 #16W10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16E50 #msc:16W10
paper · pdf · doi:10.48550/arxiv.1207.0466
Accepted for publication in the Proceedings Volume for the Denison Conference honoring T.Y. Lam
openalex publication_date 2012/07/02 · arxiv created 2013/02/07 · arxiv updated 2013/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A ring with an involution * is called strongly J-*-clean if every element is a sum of a projection and an element of the Jacobson radical that commute. In this article, we prove several results characterizing this class of rings. It is shown that a *-ring R is strongly J-*-clean, if and only if R is uniquely clean and strongly *-clean, if and only if R is uniquely strongly *-clean, that is, for any a∈ R, there exists a unique projection e∈ R such that a-e is invertible and ae=ea.