Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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  • Department of Mathematics
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  • Near-Rings
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications
  • ECTS Credit Load

Course Introduction Information

Code - Course Title MAT649 - Near-Rings
Course Type Elective Courses
Language of Instruction Türkçe
Laboratory + Practice 3+0
ECTS 7.5
Course Instructor(s) PROFESÖR DOKTOR FİGEN TAKIL MUTLU
Mode of Delivery Face to face
Prerequisites None
Courses Recomended None
Required or Recommended Resources Near-rings and their links with groups, J.D.P. Meldrum, Pitman, 1985.
Recommended Reading List Near-Rings, Gunter Pilz, North-Holland, 1983.
Assessment methods and criteria Homework
Work Placement None
Sustainability Development Goals

Content

Weeks Topics
Week - 1 The Elemantary Theory of Near-Rings: Fundamental definitions and properties.
Week - 2 Constructions
Week - 3 Embeddings
Week - 4 Ideal Theory: Sums.
Week - 5 Chain conditions
Week - 6 Decomposition Theorems.
Week - 7 Prime ideals.
Week - 8 Nil and nilpotent.
Week - 9 Structure Theory: Types of N-groups.
Week - 10 Change of the near-ring.
Week - 11 Quasiregularity.
Week - 12 Primitive Near-Rings: 0-primitive near-rings,1-primitive near-rings, 2-primitive near-rings.
Week - 13 Radical Theory: Jacobson-type radicals.
Week - 14 Distributively Generated Near-Rings.

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Discussion
  • Question & Answer
  • Problem Solving
  • Brain Storming
  • Competences
  • Productive
  • Rational
  • Questoning
  • Creative
  • Eleştirel düşünebilme
  • Abstract analysis and synthesis
  • Problem solving
  • Information Management
  • To work autonomously
  • Decision making

Assessment Methods

Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 40
Final Exam 1 60
Toplam (%) 100
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