Abstract algebra
著者
書誌事項
Abstract algebra
（Graduate texts in mathematics, 242）
Springer, c2007
2nd ed
- タイトル別名
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Algebra
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注記
Previous ed.: Algebra. New York : Wiley, c1999
Includes bibliographical references (p. [645]-649) and index
内容説明・目次
内容説明
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.
目次
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.
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