3 citations · 5 across the 5 of their papers we have counts for
5 papers
Core partial order in rings with involution
Xiaoxiang Zhang, Sanzhang Xu, Jianlong Chen
Let be a unital ring with involution. We give several characterizations and properties of core partial order in . In particular, we investigate the reverse order law $(ab)^{…
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…
Relative Derived Category with respect to a Subcategory
Zhenxing Di, Xiaoxiang Zhang, Wei Ren +1
The notion of relative derived category with respect to a subcategory is introduced. A triangle-equivalence, which extends a theorem of Gao and Zhang [Gorenstein derived categories…
Projections and Idempotents in star-reducing Rings Involving the Moore-Penrose Inverse
Xiaoxiang Zhang, Shuangshuang Zhang, Jianlong Chen +1
In [Comput. Math. Appl. 59 (2010) 764-778], Baksalary and Trenkler characterized some complex idempotent matrices of the form , and in…
Moore-Penrose Invertibility of Differences and Products of Projections in Rings with Involution
Xiaoxiang Zhang, Shuangshuang Zhang, Jianlong Chen +1
This article concerns the MP inverse of the differences and the products of projections in a ring with involution. Some equivalent conditions are obtained. As applications, the…