Course Information

Course Name	Turkish	Algebra
	English	Algebra
Course Code	MAT 322E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	3	4	4	-	-
Course Language		English
Course Coordinator		Ergün Yaraneri
Course Objectives		1- To teach groups and group theory. 2- To teach rings and ring theory. 3- To show the relations between rings and fields.
Course Description		Introduction; arithmetic on integers, equivalence relations, functions. Groups; group axioms, subgroup, normal subgroup, Langrange’s theorem, homomorphisms, Cayley’s theorem, permutation groups, conjugacy classes, the class equation of a group, the structure of Abelian groups. Rings; rings and ideals, polynomial rings, quotient rings, homomorphisms, rational field, unique factorization theorem, principle ideal domain, Euclidean domain, prime and maximal ideals, unique factorization over polynomial rings.
Course Outcomes
Pre-requisite(s)
Required Facilities
Other
Textbook		John B. Fraleigh, "A First Course in Abstract Algebra", Addison - Wesley Publishing Comp. 1982
Other References		1) D.S.Dummit, R.M.Foote, "Abstract Algebra", John Wiley and Sons, 2004 2) I.N. Herstein, “Topics in Algebra”, Xerox College Publishing , 1976 3) J. Goldstein. "Abstract Algebra", Prentice Hall, 1983 4) W. Ledermann, “Introduction to group theory”, Longman 1973