LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Numerical Semigroups and Applications ([EBook]) / by Abdallah Assi, Pedro A. García-Sánchez.
Author	Assi, Abdallah
Added Personal Name	García-Sánchez, Pedro A. author.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details	XIV, 106 p. 5 illus. : online resource.
Series	RSME Springer Series 2509-8888 ; ; 1
ISBN	9783319413303
Summary Note	This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of this kind. The authors also introduce semigroups associated with irreducible meromorphic series, and show how these are used in order to present the properties of planar curves. Invariants of non-unique factorizations for numerical semigroups are also studied. These invariants are computationally accessible in this setting, and thus this monograph can be used as an introduction to Factorization Theory. Since factorizations and divisibility are strongly connected, the authors show some applications to AG Codes in the final section. The book will be of value for undergraduate students (especially those at a higher level) and also for researchers wishing to focus on the state of art in numerical semigroups research.:
Contents note	1 Numerical semigroups, the basics -- 2 Irreducible numerical semigroups -- 3 Semigroup of an irreducible meromorphic series -- 4 Minimal presentations -- 5 Factorizations and divisibility.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-41330-3
Links to Related Works	Subject References: Algebraic Geometry . Algorithms . Combinatorics . Commutative algebra . Commutative rings . Commutative Rings and Algebras . Computer Science . Discrete Mathematics in Computer Science . Mathematics . Authors: Assi, Abdallah . 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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