81 citations · 130 across the 43 of their papers we have counts for
4 papers · 1 filter
New characterizations for core inverses in rings with involution
Sanzhang Xu, Jianlong Chen, Xiaoxiang Zhang
The core inverse for a complex matrix was introduced by Baksalary and Trenkler. Rakić, Dinčić and Djordjević generalized the core inverse of a complex matrix to the case of an elem…
Reverse order law for the inverse along an element
Huihui Zhu, Jianlong Chen, Pedro Patricio
In this paper, we introduce a new concept called left (right) g-MP inverse in a -monoid. The relations of this type of generalized inverse with left inverse along an element are…
Characterizations of the -inverse in a ring
Long Wang, Jianlong Chen, Nieves Castro-González
Let be a ring and . In this paper, we give some characterizations of the -inverse, in terms of the direct sum decomposition, the annihilator and the invertibl…
A Note on -Clean Rings
Jian Cui, Zhou Wang
A -ring is called (strongly) -clean if every element of is the sum of a projection and a unit (which commute with each other). In this note, some properties of -cl…