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Numerical Semigroups and Applications

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.

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Detail Information
Series Title
RSME Springer Series
Call Number
-
Publisher
Cham, Switzerland : Springer.,
Collation
XIV, 106
Language
English
ISBN/ISSN
978-3-319-82325-6
Classification
NONE
Content Type
text
Media Type
computer
Carrier Type
online resource
Edition
1
Subject(s)
Algorithms
Discrete Mathematics
Algebraic Geometry
Commutative Rings and Algebras
Discrete Mathematics in Computer Science
Specific Detail Info
-
Statement of Responsibility
Other Information
Cataloger
Hamdani
Source
-
Validator
-
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