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.GR2025
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…
math.GR2025
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…