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20122022
most citedStrongly J-Clean Rings with Involutions

3 citations · 8 across the 24 of their papers we have counts for

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27 papers · 1 filter

math.RA2022

The g-Drazin inverses of anti-triangular block operator matrices

Huanyin Chen, Marjan Sheibani

An element in a Banach algebra has g-Drazin inverse if there exists such that and . In this paper…

math.RA2022

Pseudo core invertibility in Banach *-algebras and its applications

Huanyin Chen, Marjan Sheibani

We present new additive results for the pseudo core inverse in a Banach algebra with involution. The necessary and sufficient conditions under which the sum of two pseudo core inve…

math.RA2022

The Core Inverse in a Banach Algebra with Involution

Marjan Sheibani, Huanyin Chen

We present new additive results for the core inverse in a Banach algebra with involution. We obtain necessary and sufficient conditions under which the sum of two core invertible e…

math.RA2022

Group inverse for anti-triangular block operator matrices

Huanyin Chen, Marjan Sheibani

We present the existence of the group inverse and its representation for the block operator matrix under the condition $FEF…

math.RA2022

Group invertibility of the sum in rings and its applications

Huanyin Chen, Dayong Liu, Marjan Sheibani

We present new additive results for the group invertibility in a ring. Then we apply our results to block operator matrices over Banach spaces and derive the existence of group inv…

math.RA2022

The g-Drazin invertibility in a Banach algebra

Huanyin Chen, Marjan Sheibani

We present necessary and sufficient conditions under which the anti-triangular matrix over a Banach algebra has g-Drazin inve…