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The Theory of Rings
Nathan Jacobson

Mathematical Surveys and Monographs
1943; 150 pp; softcover
Volume: 2
Reprint/Revision History:
reprinted with corrections 1948; tenth printing 1998
ISBN-10: 0-8218-1502-4
ISBN-13: 978-0-8218-1502-1
List Price: US$53
Member Price: US$42.40
Order Code: SURV/2
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The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.

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