Information Package / Course Catalogue
Module Theory I
Course Code: MTK609
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

Working on the properties of advance module theory

Course Content

The summarieses some fundamental properties of module theory, characterization of projective and injective modules with exact sequences, characterization of Artin and Noether modules, studying of radical of modules and rings and also some specific rings

Name of Lecturer(s)
Learning Outcomes
1.To remind basic facts on advanced module theory
2.Studying on the characterization of some specific modules
3.To improve some methodology on the characterization of modules
4.To constract the relations between some specific modules and other scientific fields
5.To be able to gain the skill of interpreting some interrelations among these concepts
Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Introduction to module theory
Week 2 - Theoretical
Cartesian products and direct sums of modules
Week 3 - Theoretical
Homomorphisms
Week 4 - Theoretical
Split exact sequences
Week 5 - Theoretical
Projective and injective modules
Week 6 - Theoretical
Length of a module
Week 7 - Theoretical
Artinian and Noetherian modules
Week 8 - Theoretical
Artinian and Noetherian rings
Week 9 - Theoretical
Simple and semisimple modules
Week 10 - Theoretical
Simple and semisimple rings
Week 11 - Theoretical
Radicals of modules and rings
Week 12 - Theoretical
Finitely generated modules
Week 13 - Theoretical
Neumann regular rings
Week 14 - Theoretical
The group ring
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
4
4
3
3
3
4
4
4
4
4
OÇ-2
4
4
4
5
5
4
4
4
4
4
5
OÇ-3
4
4
4
5
5
5
4
4
4
4
4
5
OÇ-4
4
5
5
5
3
3
4
4
4
4
4
5
OÇ-5
4
4
4
4
4
5
4
4
4
4
4
3
4
Adnan Menderes University - Information Package / Course Catalogue
2026