Connection between commutative algebra and topology
The main aim of this paper to show how commutative algebra is connected to topology. We give underlying topological idea of some results on completable unimodular rows.
math.AC↗
arXiv subjects
Sumit Kumar Upadhyay
Publications and source records attributed to Sumit Kumar Upadhyay.
Existence of a Unique group of finite order
Let $n$ be a positive integer. Then cyclic group $Z_n$ of order $n$ is the only group of order $n$ iff g.c.d. $(n,ϕ(n))=1$, where $ϕ$ denotes the Euler-phi function. In this article we have given another proof of this result using the knowledge of semi direct product and induction.
math.HO↗
Public Key Protocol Based on Amalgamated Free Product
In the spirit of Diffie Hellman the concept of a protocol algebra is introduced using certain amalgamated free product of Braid group B and Thompson group T together with a nilpotent subgroup H of index 2.
cs.CR↗