مقدمه‌ای بر جبر انتزاعی مدرن

Title Preface Contents 1. Preliminary notions 1-1 The algebra of sets 1-2 Functions and elementary number theory 2. Group theory 2-1 Definition and examples of groups 2-2 Certain elementary theorems on groups 2-3 Two important groups 2-4 Subgroups 2-5 Normal subgroups and quotient groups 2-6 Homomorphisms 2-7 The fundamental theorems 2-8 The Jordan-Hölder theorem 2-9 Sylow theorems 3. Ring theory 3-1 Definition and elementary properties of rings 3-2 Ideals and quotient rings 3-3 Fields 3-4 Certain special ideals 3-5 Polynomial rings 3-6 Boolean rings and Boolean algebras 4. Vector spaces 4-1 The algebra of matrices 4-2 Elementary properties of vector spaces 4-3 Bases and dimension 4-4 Linear mappings Selected References Index of Special Symbols and Notations Index