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Numerical Semigroups and Applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Numerical Semigroups and Applications/ by Abdallah Assi, Marco D'Anna, Pedro A. García-Sánchez.
Author:	Assi, Abdallah.
other author:	D'Anna, Marco.
Description:	XIV, 138 p. 8 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebraic geometry. -
Online resource:	https://doi.org/10.1007/978-3-030-54943-5
ISBN:	9783030549435

Numerical Semigroups and Applications
Assi, Abdallah.

Numerical Semigroups and Applications[electronic resource] /by Abdallah Assi, Marco D'Anna, Pedro A. García-Sánchez. - 2nd ed. 2020. - XIV, 138 p. 8 illus.online resource. - RSME Springer Series,32509-8888 ;. - RSME Springer Series,2.

1 Numerical semigroups, the basics -- 2 Irreducible numerical semigroups -- 3 Ideals -- 4 Semigroup of an irreducible meromorphic series -- 5 Minimal presentations -- 6 Factorizations and divisibility.

This book is an extended and revised version of "Numerical Semigroups with Applications," published by Springer as part of the RSME series. Like the first edition, it presents applications of numerical semigroups in Algebraic Geometry, Number Theory and Coding Theory. It starts by discussing the basic notions related to numerical semigroups and those needed to understand semigroups associated with irreducible meromorphic series. It then derives a series of applications in curves and factorization invariants. A new chapter is included, which offers a detailed review of ideals for numerical semigroups. Based on this new chapter, descriptions of the module of Kähler differentials for an algebroid curve and for a polynomial curve are provided. Moreover, the concept of tame degree has been included, and is viewed in relation to other factorization invariants appearing in the first edition. This content highlights new applications of numerical semigroups and their ideals, following in the spirit of the first edition.

ISBN: 9783030549435

Standard No.: 10.1007/978-3-030-54943-5doiSubjects--Topical Terms:

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

Numerical Semigroups and Applications
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