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Ideal Theory of Commutative Rings and Monoids by Franz Halter-Koch 9783031888779
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Ideal Theory of Commutative Rings and Monoids by Franz Halter-Koch 9783031888779

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Description

This book offers a concise treatment of multiplicative ideal theory in the language of multiplicative monoids. It presents a systematic development of the theory of weak ideal systems and weak module systems on arbitrary commutative monoids. Examples of monoids that are investigated include, but are not limited to, Mori monoids, Laskerian monoids, Prüfer monoids and Krull monoids. An in-depth study of various constructions from ring theory is also provided, with an emphasis on polynomial rings, Kronecker function rings and Nagata rings. The target audience is graduate students and researchers in ring and semigroup theory.



Book Information
ISBN 9783031888779
Author Franz Halter-Koch
Format Paperback
Page Count 190
Imprint Springer International Publishing AG
Publisher Springer International Publishing AG

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