The course aims at acquiring the student’s skills related to rings, domains, ideals, primary and great ideals, division rings, morphology and their properties. Through these concepts, the student acquires and learns the ability to demonstrate, the ability to abstract and generalize, and acquire sound thinking skills, learn methods of proof, link between theories and examples, and identify a new type of important examples. .
Intended learning outcomes
The student should know the ring, its properties and examples.
The student understands the partial loop and its properties.
That the student distinguish the domain and the relationship between the domain and the correct region.
To explain the operations on ideals and their types and properties.
That the student understand the morphology and study its basic theorems.
That the student deduce the types of loops such as the boundary loop.
The student should mention several methods of proof and the variety of examples.