3 citations · 5 across the 7 of their papers we have counts for
10 papers
Dual Drazin generalized inverse for dual matrices
Amit Kumar, Vaibhav Shekhar
This manuscript proposes a generalized inverse for a dual matrix called dual Drazin generalized inverse (DDGI) which generalizes the notion of the dual group generalized inverse (D…
On WD and WDMP generalized inverses in rings
Amit Kumar, Debasisha Mishra
Motivated by the very recent work of Gao, Y., Chen, J., Wang, J., Zou, H. [Comm. Algebra, 49(8) (2021) 3241-3254; MR4283143], we introduce two new generalized inverses named weak D…
On generalized-Drazin inverses and GD-star matrices
Amit Kumar, Vaibhav Shekhar, Debasisha Mishra
Motivated by the works of Wang and Liu [Linear Algebra Appl., 488 (2016) 235-248; MR3419784] and Mosic [Results Math., 75(2) (2020) 1-21; MR4079761], we provide further results on…
Absolute matrix order ideals in absolute matrix order unit spaces
Amit Kumar
In this paper, we define and study absolute matrix order ideals in absolute matrix order unit spaces. As an application of absolute matrix order unit property, we construct some ki…
and -groups of absolute matrix order unit spaces
Amit Kumar
In this paper, we describe the Grothendieck groups and of an absolute matrix order unit space for unitary and partial unitary elements respectively. For this pu…
The Schur multiplier of some finite multiplicative Lie algebras
Amit Kumar, Deepak Pal, Seema Kushwaha +1
The main aim of the article is to find the Schur multiplier and the Lie exterior square of some finite multiplicative Lie algebras. For a non abelian simple group with trivial…
On forward-order law for core inverse in rings
Amit Kumar, Debasisha Mishra
If and are a pair of invertible elements, then is also invertible and the inverse of the product satisfying is known as the {\it forwar…
-group of absolute Matrix order unit spaces
Anil Kumar Karn, Amit kumar
In this paper, we describe the Grothendieck group of an absolute matrix order unit space . For this purpose, we discuss the direct limit of absolute matrix order unit s…
Partial isometries in an absolute order unit space
Anil Kumar Karn, Amit kumar
In this paper, we extend the notion of orthogonality to the general elements of an absolute matrix order unit space and relate it to the orthogonality among positive elements. We i…
Isometries of absolute order unit spaces
Anil Kumar Karn, Amit kumar
We prove that for a bijective, unital, linear map between absolute order unit spaces is an isometry if, and only if, it is absolute value preserving. We deduce that, on (unital) $J…