2 citations · 2 across the 10 of their papers we have counts for
11 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…
A characterization of -generalized skew derivations on lie ideal of a prime ring
Ashutosh Pandey, Mani Shankar Pandey
Let be a prime ring of characteristic different from , be its Utumi quotient ring, be its extended centroid and be a non-central Lie ideal of . Suppose an…
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…
Gyrogroup extensions and semi cross product
Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha +1
The aim of the article is to study the extension theory of gyrogroups under certain conditions. Consequently, we see that there is an equivalence between the category GEXT of group…
Gyrogroup through its Grothendieck Group Completion and Right gyrogroup action
Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha +1
In this article, we discuss the Grothendieck group completion (GGC) of a gyrogroup. Consequently, we show that there is a one to one correspondence between actions and representati…
Multiplicative Lie Algebra Structures on a Group
Mani Shankar Pandey, Sumit Kumar Upadhyay
The main aim of this paper is to classify the distinct multiplicative Lie algebra structures (up to isomorphism) on a given group. We also see that for a given group , every hom…
Theory of Extensions of Multiplicative Lie Algebras
Mani Shankar Pandey, Sumit Kumar Upadhyay
In this paper, we attempt to develop the Schreier theory for two special types extensions of multiplicative Lie algebras.
A Construction of Bent Functions on a finite group
Mani Shankar Pandey, Sumit Kumar Upadhyay, Vipul Kakkar
In this paper, we discuss when a class function on a finite group is a bent function. We have found a necessary condition for a class function on a finite abelian group to be bent.…