Welcome,
Guest
.
Login
.
Türkçe
NİNOVA
COURSES
HELP
ABOUT
Where Am I:
Ninova
/
Courses
/
Faculty of Science and Letters
/
MAT 324E
/
Course Informations
Return to Faculty
Home Page
Course Information
Course Weekly Lecture Plan
Course Evaluation Criteria
Course Information
Course Name
Turkish
Cebir
English
Algebra
Course Code
MAT 324E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
6
3
3


Course Language
English
Course Coordinator
Ergün Yaraneri
Course Objectives
1To teach basic group theory.
2To teach basic ring theory.
3To show the relations between quotient rings and fields.
Course Description
Group Axioms, Subgroup, Normal Subgroup, Quotient Groups, Langrange’s Theorem, Homomorphisms, Isomorphism Theorems, Direct Product of Groups, The Structure of Abelian Groups, Permutation Groups, Ring Axioms, Direct Product of Rings, Subrings and Ideals, Quotient Rings, Homomorphisms, Integral Domain, Prime and Maximal Ideals, Polynomial Rings.
Course Outcomes
Students completing this course will be able to:
1Understand basics definitions and concepts of group theory,
2Understand basics theorems of group theory such as Lagrange’s
Theorem and the First Isomorphism Theorem and their applications,
3Know the basic properties of the permutation groups,
4Understand basics definitions, concepts and theorems of ring theory,
5Understand definitions of prime and maximal ideals, and know the relations between quotient rings and fields,
6Know the basic properties of the polynomial rings.
Prerequisite(s)
MAT175E min DD
Required Facilities
Other
Textbook
1A First Course in Abstract Algebra, by J.B. Fraleigh
2Contemporary Abstract Algebra, by J.A. Gallian
Other References
1Fundamentals of Abstract Algebra, by D.S. Malik
2Abstract Algebra, by D.S. Dummit and R.M. Foote
Courses
.
Help
.
About
Ninova is an ITU Office of Information Technologies Product. © 2024