Algebra (Abstract)
Good Books for reference:
Good Books for reference:
Contemporary abstract algebra (Joseph A. Gallian)
Topics in Algebra (I. N. Herstein)
Syllabus for Algebra
Syllabus for Algebra
Groups
Subgroups
Normal subgroups
Quotient groups
Homomorphisms
Automorphisms
Cyclic groups
Permutation groups
Sylow’s theorems and their applications
Rings
Ideals
Prime and maximal ideals
Quotient rings
Unique factorization domains
Principle ideal domains
Euclidean domains
Polynomial rings and irreducibility criteria
Fields
Finite fields
Field extension
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