Information Package / Course Catalogue
Module Theory II
Course Code: MTK610
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 some specific properties of advance module theory

Course Content

Introduce of free modules and rank, properties of projective and injective modules, studying of flat and faitfull modules, characterization of injective modules with homological way, some dimensions on ring theory, introduce the CS-modules

Name of Lecturer(s)
Learning Outcomes
1.To give details of free modules and ranks
2.To studying more about the characterization on specific modules
3.To improve the methodology by using homological algebra
4.To introduce the CS-modules as a specific modules
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
Free modules and rank
Week 2 - Theoretical
Projective modules and their properties
Week 3 - Theoretical
Projective modules and their properties
Week 4 - Theoretical
Injective modules and their properties
Week 5 - Theoretical
Injective modules and their properties
Week 6 - Theoretical
Injective modules and their properties
Week 7 - Theoretical
Flat modules
Week 8 - Theoretical
Faitfully flat modules
Week 9 - Theoretical
Homological dimensions
Week 10 - Theoretical
Injective dimensions
Week 11 - Theoretical
Global dimensions of semiprimary rings
Week 12 - Theoretical
Global dimensions of local rings
Week 13 - Theoretical
Uniform dimensions
Week 14 - Theoretical
CS-modules
Week 15 - Final Exam
Final Exam
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
3
4
OÇ-3
4
4
4
5
5
5
4
4
4
5
4
3
5
OÇ-4
4
5
5
5
3
3
4
4
4
5
4
3
5
OÇ-5
4
4
4
4
4
5
5
4
5
5
4
5
Adnan Menderes University - Information Package / Course Catalogue
2026