2 citations · 3 across the 19 of their papers we have counts for
21 papers
Representation and Extending structure of a Multiplicative Lie algebra
Neeraj Kumar Maurya, Sumit Kumar Upadhyay
In this paper, we attempt to develop a general notion of representation theory for multiplicative Lie algebras. Consequently, we study equivalent, irreducible, and completely reduc…
Theory of extension of commutative poisson algebra
Neeraj Kumar Maurya, Deepak Pal, Sumit Kumar Upadhyay
In this paper, we develop the extension theory of commutative Poisson algebras. Specifically, we define the second cohomology of a commutative Poisson algebra with coefficients…
Algebraic cohomotopy groups, algebraic fundamental groups and stably free modules
Raja Sridharan, Sumit Kumar Upadhyay
In this article, we prove the algebraic counterpart of the topological results and . We also see that a no…
Excision and idealization of a multiplicative Lie algebra
Neeraj Kumar Maurya, Amit Kumar, Sumit Kumar Upadhyay
In this article, we introduce the concepts of excision and idealization for a multiplicative Lie algebra (also for a Lie algebra), which provides two new multiplicative Lie algebra…
Multiplicative Lie algebra structure on nilpotent group of class
Deepak Pal, Amit Kumar, Sumit Kumar Upadhyay
This paper explores the properties of multiplicative Lie algebra structures on a nilpotent group of class . We also present a method for determining a multiplicative Lie algebra…
Tensor square and isoclinic extensions of multiplicative Lie algebras
Dev Karan Singh, Amit Kumar, Sumit Kumar Upadhyay +1
In this paper, we discuss the capable and isoclinic properties of the tensor square in the context of multiplicative Lie algebras. We also developed the concept of isoclinic extens…