5 papers
The Bogomolov multiplier of a multiplicative Lie algebra
Amit Kumar, Renu Joshi, Mani Shankar Pandey +1
In this paper, we develop the concept of the Bogomolov multiplier for a multiplicative Lie algebra and establish a Hopf-type formula. Consequently, we see that the Bogomolov multip…
Nilpotency and Capability in multiplicative Lie algebras
Amit Kumar, Mani Shankar Pandey, Sumit Kumar Upadhyay
This paper aims to introduce the concept of nilpotency and capability in multiplicative Lie algebras. Also, we see the existence of covers of a multiplicative Lie algebra and thoro…
b-generalized skew derivations acting as 2-Jordan multiplier on multilinear polynomials in prime rings
Mani Shankar Pandey, Ashutosh Pandey
Let R be a prime ring of characteristic not equal to 2, U be its Utumi quotient ring and C be the extended centroid of R. Let ϕbe a multilinear polynomial over C, which is not cent…
Isoclinism in multiplicative Lie algebras
Mani Shankar Pandey, Sumit Kumar Upadhyay
The purpose of this paper is to introduce the notion of isoclinism and cover in a multiplicative Lie algebra which may be helpful to describe all multiplicative Lie algebra structu…
On the power graph of a certain gyrogroup
Yogendra Singh, Anand Kumar Tiwari, Fawad Ali +1
The power graph of a group is a simple graph with the vertex set such that two distinct vertices are adjacent in if and only if or $v^m…