COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 569NON-COMMUTATIVE RINGS3 + 02nd Semester6

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective The aim of this lesson is to learn the theorems of non commutative rings.
Course Content The Jacobson Radical , Modules, Radical of Ring, Artinian Rings, Semi-Simple Artinian Rings, Semi-Simple Rings, Density Theorem, Applications of Wedderburn Theorem, Commutative Theorems, Wedderburn Theorem and Some Generalizations, Some Special Rings, Simple Algebras, Brauer Group, Maximal Subfields, Some Classic Theorems, Cross Product, Properties of Finite Groups, Hurwitz Theorem and Applications to Group Theory, Polynomial Identities, Kaplansky Theorem, Goldie’s Theorem, Ultra-Products, The Golod- Shafarevitch Theorem.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Learns The Jacobson Radical , Modules, Radical of Ring, Artinian Rings, Semi-Simple Artinian Rings, Semi-Simple Rings.
2Expresses and proves the Density Theorem.
3Learns Applications of Wedderburn Theorem, Commutative Theorems, Wedderburn Theorem and Some Generalizations, Some Special Rings, Simple Algebras.
4Learns Maximal Subfields, Some Classic Theorems, Cross Product, Properties of Finite Groups, Hurwitz Theorem and Applications to Group Theory, Polynomial Identities, Kaplansky Theorem, Goldie’s Theorem, Ultra-Products, The Golod- Shafarevitch Theorem.

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 Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
Total Work Load

ECTS Credit of the Course






156

6

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