The Ideal Theory and Arithmetic of Rings, Monoids, and Semigroups - Couverture souple

Couverture souple

ISBN 10 : 147048045X ISBN 13 : 9781470480455

Editeur : American Mathematical Society, 2026

Synopsis

This volume is based on talks given at the Special Session at the second International Joint Meeting of the Unione Matematica Italiana and the American Mathematical Society, held at the Universita degli Studi di Palermo on July 23-26, 2024. During the last twenty years, the theory involving the structure of the arithmetic and ideal theory of various algebraic structures has been a popular topic and taken several important steps forward. Many applications of this theory, with particular attention to the multiplicative monoids of integral domains and their combinatorial or numerical applications to ring theory, have appeared throughout the mathematical literature. The aim of this volume is to review recent developments in this area by bringing together researchers from different areas of algebra under the umbrella of commutative monoids, semigroups, and rings. Topics include multiplicative ideal theory and general ideal systems, arithmetic in Krull and Prufer monoids, commutative monoid rings, integer-valued polynomials, numerical and congruence monoids, direct sum decompositions of modules, and various aspects of non-unique factorization.

A propos du livre

À propos de l'auteur

Scott T. Chapman, Sam Houston State University, Huntsville, TX

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2026
• Langue: anglais
• ISBN 10: 147048045X
• ISBN 13: 9781470480455
• Reliure: Broché
• Nombre de pages: 298
• Éditeur: Chapman Scott T.
• Coordonnées du fabricant: JOSSEY-BASS; https://www.wiley.com/en-us; ; 111 River Street; Hoboken; NJ; 7030; Etats-Unis
• Personne responsable: non disponible