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Advanced modern algebra, 2d ed.


Advanced modern algebra, 2d ed.

Rotman, Joseph J.

American Mathematical Society


1008 pages



Graduate studies in mathematics; v.114


This text is intended to serve as a comprehensive introduction to first-year graduate level modern algebra while also providing advanced graduate students with materials for further study, even if the materials don't reach the frontiers of the field. Chapters address group theory, commutative rings, Galois theory, noncommutative rings, representation theory, advanced linear algebra, and homology. Unlike the first edition, material covered in the author's A First Course in Abstract Algebra, third ed., has generally been omitted in favor of references to that work. Other revisions to this second edition include an earlier introduction to noncommutative rings; a simpler treatment of the existence of free groups; and new discussions of Galois theory for infinite extensions, the normal basis theory, abelian categories, and module categories.

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Publication:SciTech Book News
Article Type:Brief article
Date:Dec 1, 2010
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