Abstract Algbebra

Herstein_Algebra3e.pdf

Abstract Algebra

General information:

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebra over a field. The term abstract algebra was coined in the early 20th century to distinguish this area of study from the other parts of algebra.

Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a powerful formalism for analyzing and comparing different algebraic structures.

Universal algebra is a related subject that studies the nature and theories of various types of algebraic structures as a whole. For example, universal algebra studies the overall theory of groups, as distinguished from studying particular groups.

Reading List:

1- I. N. Herstein, Abstract Algebra, 3rd Edition

2-J. GallianContemporary Abstract Algebra 8th Edition

Class Hours:

Saturday, (14-16) Room 248

Saturday*, (8-10) Room 249

Grading

The grading breakdown for this reading course is divided as follows:

40% Midterm exam

20% Weekly assignments

40% Final exam

Homework

Each week, I will assign a set of homework exercises, which will be due the next
meeting. Most of them will be assigned from the textbook.

Algebra Midterm Results

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