5 papers · 1 filter
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…
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…
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…