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Numerical semigroups and applications

Assi, Abdallah.

Numerical semigroups and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical semigroups and applicationsby Abdallah Assi, Marco D'Anna, Pedro A. Garcia-Sanchez.
Author:	Assi, Abdallah.
other author:	D'Anna, Marco.
Published:	Cham :Springer International Publishing :2020.
Description:	xiv, 138 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Semigroups.
Online resource:	https://doi.org/10.1007/978-3-030-54943-5
ISBN:	9783030549435$q(electronic bk.)

Numerical semigroups and applications
Assi, Abdallah.

Numerical semigroups and applications[electronic resource] /by Abdallah Assi, Marco D'Anna, Pedro A. Garcia-Sanchez. - Second edition. - Cham :Springer International Publishing :2020. - xiv, 138 p. :ill., digital ;24 cm. - RSME Springer series,v.32509-8888 ;. - RSME Springer series ;v.1..

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 Kahler 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$q(electronic bk.)

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

239334
Semigroups.

LC Class. No.: QA182

Dewey Class. No.: 512.27

Numerical semigroups and applications
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505 0 $a 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.
520 $a 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 Kahler 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.
650 0 $a Semigroups. $3 239334
650 0 $a Geometry, Algebraic. $3 190843
650 0 $a Commutative algebra. $3 190842
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650 0 $a Combinatorial analysis. $3 182280
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650 2 4 $a Commutative Rings and Algebras. $3 274057
650 2 4 $a Combinatorics. $3 274788
650 2 4 $a Discrete Mathematics in Computer Science. $3 274791
700 1 $a D'Anna, Marco. $3 877643
700 1 $a Garcia-Sanchez, Pedro A. $3 758705
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