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Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Numerical Semigroups and Applications ([EBook]) / by Abdallah Assi, Marco D'Anna, Pedro A. García-Sánchez.
Author	Assi, Abdallah
Added Personal Name	D'Anna, Marco
Added Personal Name	García-Sánchez, Pedro A.
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2020.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details	XIV, 138 p. 8 illus. : online resource.
Series	RSME Springer Series 2509-8888 ; ; 3
ISBN	9783030549435
Summary Note	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.:
Contents note	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.
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-54943-5
Links to Related Works	Subject References: Algebraic Geometry . Algorithms . Combinatorics . Commutative algebra . Commutative rings . Commutative Rings and Algebras . Computer science-Mathematics . Discrete Mathematics in Computer Science . Authors: Assi, Abdallah . author . D'Anna, Marco . García-Sánchez, Pedro A. . Corporate Authors: SpringerLink (Online service) . Series: RSME Springer Series . Classification: 516.35 .

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Numerical Semigroups and Applications

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