Quotient Subtraction Algebra
| dc.contributor.advisor | Abebaw Tilahun (PhD) | |
| dc.contributor.author | Lakew Zenebe | |
| dc.date.accessioned | 2018-07-19T12:01:45Z | |
| dc.date.accessioned | 2023-11-04T12:30:35Z | |
| dc.date.available | 2018-07-19T12:01:45Z | |
| dc.date.available | 2023-11-04T12:30:35Z | |
| dc.date.issued | 2016-07 | |
| dc.description.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. | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/9483 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Quotient Subtraction | en_US |
| dc.title | Quotient Subtraction Algebra | en_US |
| dc.type | Thesis | en_US |