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Numerical semigroups and applications

Assi, Abdallah.

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Numerical semigroups and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical semigroups and applications/ by 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.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Semigroups. -
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. 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.3..

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

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

609931
Semigroups.

LC Class. No.: QA182

Dewey Class. No.: 512.27

Numerical semigroups and applications
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245 1 0 $a Numerical semigroups and applications $h [electronic resource] / $c by Abdallah Assi, Marco D'Anna, Pedro A. Garcia-Sanchez.
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260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xiv, 138 p. : $b ill., digital ; $c 24 cm.
490 1 $a RSME Springer series, $x 2509-8888 ; $v v.3
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 609931
650 0 $a Geometry, Algebraic. $3 532048
650 0 $a Commutative algebra. $3 604140
650 0 $a Commutative rings. $3 606074
650 0 $a Algorithms. $3 536374
650 0 $a Combinatorial analysis. $3 523878
650 0 $a Computer science $x Mathematics. $3 532725
650 1 4 $a Algebraic Geometry. $3 893861
650 2 4 $a Commutative Rings and Algebras. $3 891076
650 2 4 $a Combinatorics. $3 895617
650 2 4 $a Discrete Mathematics in Computer Science. $3 892513
700 1 $a D'Anna, Marco. $3 3504354
700 1 $a Garcia-Sanchez, Pedro A. $3 2210371
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