Ideal Theory of Commutative Rings and Monoids

Ideal Theory of Commutative Rings and Monoids

Franz Halter-Koch

109,71 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2025
ISBN:
9783031888779
109,71 €
IVA incluido
Disponible

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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.

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