Quotient Subtraction Algebra

No Thumbnail Available

Date

2016-07

Journal Title

Journal ISSN

Volume Title

Publisher

Addis Ababa University

Abstract

Certain techniques fundamental to the study of algebra. One of such techniques is the construction of a quotient set of an algebraic structure by a means of an equivalence relation on the given set. Based on this, we construct a quotient subtraction algebra, which plays a crucial role in the study of algebra. In this project work, we will introduce the notion of subtraction algebra, which is an algebraic structure on a set with a binary operation, usually called subtraction. To define subtraction algebra, we use the the concept of equivalence relation, subtraction algebra and ideal of subtraction algebra to define a quotient subtraction algebras and study its properties. The idea of isomorphism theorems of other algebraic structures is used to define isomorphism theorems of quotient subtraction algebras.

Description

Keywords

Quotient Subtraction

Citation

Collections