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Advanced Algebra: Course Contents (MAT-675)

algebra is the study of mathematical symbols and the rules for manipulating these symbols

Course Outline

Introduction to Groups and Subgroup structures

Permutation Group

Quotients  Groups and Groups Laws

Finite Abelian Group

Group Action on a set and Group Automorphisms

Introduction to Rings and ideal structures

Operations of ideals

Quotient Rings

Quotient Rings that are fields

Polynomial Ring

Fields structures and Field extensions

Text books

E Books