Information Package / Course Catalogue
Gamma Rings
Course Code: MTK645
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

This course gives the fundamental concepts of gamma rings.

Course Content

Definitions and examples of gamma rings, operator rings, ideals, homomorphisms and residue class gamma rings, prime, primitive and simple gamma rings, density theorem, semi-prime gamma rings with Min-r condition, simple gamma rings with Min-r condition, gamma rings with Min-r and Min-l conditions, prime radical, Levitzki Nil Radical, Jacobson Radical, relation among radicals of R, of L and of M.

Name of Lecturer(s)
Learning Outcomes
1.To give fundamental properties of gamma rings
2.To give relations between gamma rings and other fields of algebra
3.To improve some theoretical approach on gamma rings
4.To improve outstunding on gamma rings
5.To relate gamma rings with some other algebraic fields
Recommended or Required Reading
1.Gamma Rings, S.Kyuno
Weekly Detailed Course Contents
Week 1 - Theoretical
Definitions and examples of gamma rings
Week 2 - Theoretical
Operator rings
Week 3 - Theoretical
Ideals, homomorphisms, simple gamma rings with min-r condition,
Week 4 - Theoretical
Residue class gamma rings
Week 5 - Theoretical
Prime Gamma Rings
Week 6 - Theoretical
Primitive and simple gamma rings
Week 7 - Theoretical
Primitive and simple gamma rings
Week 8 - Theoretical
Density theorem
Week 9 - Theoretical
Semi-prime gamma rings with Min-r condition
Week 10 - Theoretical
Gamma rings with Min-r and Min-l conditions
Week 11 - Theoretical
Prime radical
Week 12 - Theoretical
Levitzki Nil Radical
Week 13 - Theoretical
Jacobson Radical
Week 14 - Theoretical
Jacobson Radical
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Term Assignment1%5
Midterm Examination1%20
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment1066
Term Project1066
Individual Work140570
Midterm Examination130232
Final Examination142244
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
OÇ-1
4
3
4
3
3
4
3
3
OÇ-2
4
5
5
4
5
5
3
4
OÇ-3
5
4
4
4
5
5
5
5
OÇ-4
5
4
5
4
5
5
4
4
OÇ-5
4
5
5
4
4
5
4
5
Adnan Menderes University - Information Package / Course Catalogue
2026