10 citations · 17 across the 5 of their papers we have counts for
6 papers
Existence criteria and expressions of the (b,c)-inverse in rings and its applications
Sanzhang Xu, Julio Benitez
Existence criteria for the -inverse are given.% in terms of annihilators. We present explicit expressions for the -inverse by using inner inverses. We answer the ques…
On one-sided (B,C)-inverses of arbitrary matrices
Julio Benitez, Enrico Boasso, Hongwei Jin
In this article one-sided (b, c)-inverses of arbitrary matrices as well as one-sided inverses along a (not necessarily square) matrix, will be studied. In adddition, the (b, c)-inv…
EP elements in rings with involution
Sanzhang Xu, Jianlong Chen, Julio Benitez
Let be a unital ring with involution. We first show that the EP elements in can be characterized by three equations. Namely, let , then is EP if and only if the…
The inverse along an element in rings with an involution, Banach algebras and -algebras
Julio Benitez, Enrico Boasso
Properties of the inverse along an element in rings with an involution, Banach algebras and -alegbras will be studied unifying known expressions concerning generalized inverse…
The inverse along an element in rings
Julio Benitez, Enrico Boasso
In this article several properties of the inverse along an element will be studied in the context of unitary rings. New characterizations of the existence of this inverse will be p…
Co-EP Banach Algebra Elements
Julio Benitez, Enrico Boasso, Vladimir Rakocevic
In this work, given a unital Banach algebra $\A$ and $a\in \A$ such that has a Moore-Penrose inverse , it will be characterized when is inve…