Field Theory

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Algebra

Course Contents

Candidates are provided with in-depth knowledge on lie structure of prime rings, lie structure of involution prime rings, lie ideals with regular and nilpotent elements, lie and Jordan structure of prime rings with derivative, lie ideals in prime rings with derivative, generalized lie ideals, Nil and Nilpotent rings, descending chain condition, semi-simple rings, direct sums, a central idempotent elements, simple rings, Jacobson radical.

Weekly Schedule

1) Lie Structure of Prime Rings
2) Lie Structures of Involution Prime Rings,
3) Lie Ideals with Regular and Nilpotent Elements
4) Lie and Jordan Structure of Prime Rings with Derivative
5) Generalized Lie Ideals
6) Nil and Nilpotent Rings
7) Descending Chain Condition,
8) Semi-Simple Rings
9) Midterm Exam
10) Direct Sums
11) A Central Idempotent Elements
12) Simple Rings
13) Sub Direct Sums
14) Jacobson Radical
15) Jacobson Radical
16) Final Exam

Recommended or Required Reading

1- R. Lidl, H. Niederreiter, Finite Fields

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion

Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade	50%
Number Percentage Semester Studies Midterm Examination 1 60% Quiz 4 20% Presentation/Seminar 1 20%
Contribution of Final Examination to Course Grade	50%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required