2016/09/20 by Berkani Mohammed, Mohammed, Berkani
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Rings and Algebras (math.RA) #Spectral Theory (math.SP)
paper · pdf · doi:10.48550/arxiv.1609.07995
openalex publication_date 2016/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study B-Fredholm elements in rings and algebras. After characterising these elements in terms of generalized Fredholm elements, we will give a condition on the socle of a unital primitive Banach algebra A, under which we prove that an element of A is a B-Fredholm element of index 0 if and only if it is the sum of a Drazin invertible element of A and an element of the socle of A.