DESKRIPSI MATA KULIAH
This course contains a discussion of one of the algebraic structures consisting of a set and two binary operations, namely the ring. This course is a foundation in studying other more complex algebraic structures.
The subject of this course consists of:
1. Definition of Ring
2. Basic properties of ring
3. Examples of rings: Ring Polynomial, Ring Matrix and Ring Group
4. Subring
5. Unit element, Zero divisor element, Integral region
6. Ideal
7. Prime ideal and maximal ideal
8. Ring factor
9. Isomorphism theorem of ring
10. Definition and properties of Integral Regions
11. Quotient field
12. Prime Ideal
13. Euclid Regions and Single Factorisation Regions
14. Polynomial Ring
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