Algebraic Structures and Noncommutative Neutrix Product (KEY IJP************086)

• Nausheen Fatma,Chinta Mani Tiwari

Abstract

In exploring algebraic structures, this paper focuses on the noncommutative neutrix product. We examine rings, fields, and groups, clarifying their characteristics. We specifically look into the function of the noncommutative neutrix product., denoted as , Convolution is extended. We examine its attributes, including distributivity and associativity. We illustrate its usefulness using examples from quantum physics and functional analysis. For a,b,cR,(ab)c(ac)(bc) and abba.This work contributes to a deeper knowledge of algebraic structures and demonstrates the universality of the noncommutative neutrix product in mathematics.