Name: Numerical Semigroups. A Commutative Algebra Approach
SKU: 64806212
Price: 72.90 USD
Availability: InStock
Author: Jurgen Herzog;Somayeh Moradi;Masoomeh Rahimbeigi
ISBN: 9783032054234

portada Numerical Semigroups. A Commutative Algebra Approach

Numerical Semigroups. A Commutative Algebra Approach

Formato

Libro Físico

Editorial

Birkhauser

Autor

Jurgen Herzog;Somayeh Moradi;Masoomeh Rahimbeigi

Colección

Compact Textbooks in Mathematics

Año

2025

N° páginas

204

Encuadernación

Tapa Blanda

Dimensiones

23.5x15.5 cm

ISBN13

9783032054234

Numerical Semigroups. A Commutative Algebra Approach

Jurgen Herzog;Somayeh Moradi;Masoomeh Rahimbeigi (Autor) · Birkhauser · Tapa Blanda

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Reseña del libro "Numerical Semigroups. A Commutative Algebra Approach"

This book offers an exploration of the rich interplay between numerical semigroups and commutative algebra. It fills a notable gap in the literature by bridging numerical semigroup theory with advanced algebraic methods. The book is structured to support both self-study and advanced coursework, and it is divided into two major parts. The first three chapters lay the algebraic groundwork for later applications to numerical semigroups. They introduce readers to foundational topics in commutative algebra, homological methods, Cohen–Macaulay and canonical modules—all with a focus on the graded structures that arise naturally in semigroup rings. Building on the first three chapters, Chapters 4-6 lead to deep results connecting semigroup properties and invariants to algebraic properties and homological data of semigroup rings. Throughout, the exposition is enriched with illustrative examples, detailed proofs, and exercises to reinforce understanding. The book is designed for graduate students in mathematics as well as researchers in algebra, number theory, and combinatorics.