Abstract Algebra (Graduate Texts in Mathematics)

the long version

"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 last chapters, on universal algebra, and categories, including tripleability, give valuable general views of algebra. There are over 1400 exercises, at varying degrees of difficulty." "For the new edition, the author has completely rewritten the entire text, streamlining the first chapters for rapid access to Galois theory, removing some material, and adding introductions to Groebner bases, Ext and Tor, and other topics."--book jacket.