TY  - BOOK
AU  - Rotman, J.Joseph
TI  - Advanced modern algebra
SN  - 9781470419165
AV  - QA154.3 
PY  - 2002///]
CY  - Rhode, Island
PB  - American Mathematical Society
KW  - Mathematics
N1  - Chapter 1. Groups I
Chapter 2. Commutative rings I
Chapter 3. Galois theory
Chapter 4. Groups II
Chapter 5. Commutative rings II
Chapter 6. Rings
Chapter 7. Representation theory
Chapter 8. Advanced linear algebra
Chapter 9. Homology
Chapter 10. Commutative rings III

N2  - This book is designed as a text for the first year of graduate algebra, but it can also serve as a reference since it contains more advanced topics as well. This second edition has a different organization than the first. It begins with a discussion of the cubic and quartic equations, which leads into permutations, group theory, and Galois theory (for finite extensions; infinite Galois theory is discussed later in the book). The study of groups continues with finite abelian groups (finitely generated groups are discussed later, in the context of module theory), Sylow theorems, simplicity of projective unimodular groups, free groups and presentations, and the Nielsen–Schreier theorem. --- summary provided by publisher
ER  -