Abstract Algebra
(Sprache: Englisch)
This key textbook covers, with proofs, the usual major branches of abstract algebra, with its inclusive approach meaning that all of the necessary areas are explored. This new edition has been completed reworked and revised.
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Produktinformationen zu „Abstract Algebra “
This key textbook covers, with proofs, the usual major branches of abstract algebra, with its inclusive approach meaning that all of the necessary areas are explored. This new edition has been completed reworked and revised.
Klappentext zu „Abstract Algebra “
A completely reworked new edition of this superb textbook. This key work is geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of the necessary areas are explored, while the level of detail is ideal for the intended readership. The text tries to promote the conceptual understanding of algebra as a whole, doing so with a masterful grasp of methodology. Despite the abstract subject matter, the author includes a careful selection of important examples, together with a detailed elaboration of the more sophisticated, abstract theories.
Inhaltsverzeichnis zu „Abstract Algebra “
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.
Bibliographische Angaben
- Autor: Pierre Antoine Grillet
- 2007, 2nd ed., 674 Seiten, Maße: 23,5 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387715673
- ISBN-13: 9780387715674
Sprache:
Englisch
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