Karabakh University Courses
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[RIM 213 ] Abstract Algebra
Instruction Language
Azerbaijani
Course Type
Elective - Block 1
Course Description
This course explores the algebraic structures that form the foundation of modern mathematics, focusing on groups, rings, and fields. The curriculum begins with the study of group theory, including subgroups, cyclic groups, and Lagrange's theorem. Students investigate the properties of rings, integral domains, and fields, exploring concepts such as homomorphisms, isomorphisms, and quotient structures. The course emphasizes rigorous axiomatic reasoning and formal proofs to understand the abstract nature of mathematical operations. By the end of the semester, students will be capable of analyzing complex algebraic systems and applying these theories to advanced topics such as cryptography, coding theory, and the symmetry analysis of physical systems, providing the intellectual depth required for higher-level mathematical research and theoretical physics.
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