3 papers
math.RA2026
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…
math.GR2024
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…
math.GR2024
Lie nilpotency and Lie solvability of tensor product of multiplicative Lie algebras
Deepak Pal, Amit Kumar, Sumit Kumar Upadhyay +1
In this article, we discuss Lie nilpotency and Lie solvability of non-abelian tensor product of multiplicative Lie algebras. In particular, for giving information concerning the Li…