COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 512ADVANCED RINGS THEORY II3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective The aim of the course is to deal with same complementary knowledge about rings and modüles and to extend students reasoning horizon.
Course Content Rings and Homomorphisms, Ideals, Division Rings and Localization, Rings of Power Series, Product at Polynomial Rings, Modules, Vector Spaces, Projective and Injective Modules, Hom and Duality, Tensor Product, Algebras, Field Extensions, Splitting Fields, Algebraic Closure and Normality, Galaois Group of Polinomials, Finite Fields, Separability, Transcendence Bases, Linear Disjointness and Separability.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Learns the structure of the rings and homomorphisms and studies the examples.
2Can set up the structures of ideals and division rings.
3Learns the Rings of Power Series.
4Define the Product at Polynomial Rings.
5Knows the definitions of Modules, Vector Spaces, Projective and Injective Modules, Hom and Duality, Tensor Product, Algebras and prove the theorems.
6Can express and prove the theorems of Field Extensions, Splitting Fields, Algebraic Closure and Normality, Galaois Group of Polinomials, Finite Fields, Separability, Transcendence Bases, Linear Disjointness and Separability.

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
Presentation / Seminar Preparation13339
Total Work Load

ECTS Credit of the Course






195

7,5

COURSE DETAILS
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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes
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