8 citations · 8 across the 7 of their papers we have counts for
8 papers
Generalized EP properties of (b c) inverses
Huanyin Chen
In this paper, we introduce the notion of the generalized (b,c) EP inverse within the framework of a *-Banach algebra. This concept emerges as a logical extension of the weak group…
Generalized right group inverse in Banach *-algebras
Huanyin Chen, Marjan Sheibani
In this paper, we introduce the concept of the generalized right group inverse within the context of a *-Banach algebra. This represents a natural extension of the generalized (wea…
Generalized weighted EP elements in Banach algebras
H. Chen, M. Sheibani
We propose a new class of generalized inverses with weights, which represent a natural extension of EP (Moore-Penrose) and *-DMP (Drazin-Moore-Penrose) elements in a Banach *-algeb…
The -generalized right group inverses in Banach algebras
Huanyin Chen, Marjan Sheibani
In this paper, we introduce the concept of the m-generalized right group inverse. This serves as a natural extension of both the m-weak group inverse and the generalized group inve…
New properties of weighted generalized core-EP inverse in Banach algebras
Huanyin Chen, Marjan Sheibani
We characterize the generalized weighted core-EP inverse via the canonical decomposition, utilizing a weighted core-EP invertible element and a quasinilpotent. We then offer a pola…
Additive results of group inverses in Banach algebras
Dayong Liu, Huanyin Chen
In this paper, we present new presentations of group inverse for the sum of two group invertible elements in a Banach algebra. We then apply these results to block complex matrices…
On generalized core-EP invertibility in a Banach algebra
Huanyin Chen, Marjan Sheibani
We present new properties of generalized core-EP inverse in a Banach *-algebra. We characterize this new generalized inverse by using involved annihilators. The generalized core-EP…
Rings over which every matrix is the sum of two idempotents and a nilpotent
H. Chen, M. Sheibani
A ring is (strongly) 2-nil-clean if every element in is the sum of two idempotents and a nilpotent (that commute). Fundamental properties of such rings are discussed. Let $…