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＜E-Book＞
Numerical Semigroups and Applications / by Abdallah Assi, Marco D'Anna, Pedro A. García-Sánchez
(RSME Springer Series. ISSN:25098896 ; 3)

Edition	2nd ed. 2020.
Publisher	Cham : Springer International Publishing : Imprint: Springer
Year	2020
Size	XIV, 138 p. 8 illus : online resource
Authors	*Assi, Abdallah author D'Anna, Marco author García-Sánchez, Pedro A author SpringerLink (Online service)
Subjects	LCSH:Algebraic geometry LCSH:Commutative algebra LCSH:Commutative rings LCSH:Algorithms LCSH:Discrete mathematics LCSH:Computer science—Mathematics FREE:Algebraic Geometry FREE:Commutative Rings and Algebras FREE:Algorithms FREE:Discrete Mathematics FREE:Discrete Mathematics in Computer Science
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-030-54943-5

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