Rings and Homology

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Rings and Homology by James P. Jans, Dover Publications
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Author: James P. Jans ISBN: 9780486801896
Publisher: Dover Publications Publication: January 5, 2015
Imprint: Dover Publications Language: English
Author: James P. Jans
ISBN: 9780486801896
Publisher: Dover Publications
Publication: January 5, 2015
Imprint: Dover Publications
Language: English

This concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring structure and homological algebra, the treatment offers advanced undergraduate and graduate students practice in the techniques of both areas.
After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.

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This concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring structure and homological algebra, the treatment offers advanced undergraduate and graduate students practice in the techniques of both areas.
After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.

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