Abstract Algebra

• Main Author: Grillet, Pierre Antoine (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2007.
• Series: Graduate Texts in Mathematics, 242
• Subjects: Mathematics.; Algebra.; Associative rings.; Rings (Algebra).; Group theory.; Associative Rings and Algebras.; Group Theory and Generalizations.

"Abstract Algebra" is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The...

Table of Contents:

• Groups
• Structure of Groups
• Rings
• Field Extensions
• Galois Theory
• Fields with Orders or Valuations
• Commutative Rings
• Modules
• Semisimple Rings and Modules
• Projectives and Injectives
• Constructions
• Ext and Tor
• Algebras
• Lattices
• Universal Algebra
• Categories.