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Ideal Theory of Commutative Rings and Monoids

Ideal Theory of Commutative Rings and Monoids

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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.

Informations bibliographiques

juin 2025, env. 282 pages, Lecture Notes in Mathematics, Anglais
Springer International Publishing
978-3-031-88877-9

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