| 书目名称 | Numerical Semigroups and Applications |
| 编辑 | Abdallah Assi,Pedro A. García-Sánchez |
| 视频video | |
| 概述 | Useful for any undergraduate student, and also for researchers wishing to focus on the state of art in numerical semigroups research.Contains many examples and tutorials with the (free) numericalsgps |
| 丛书名称 | RSME Springer Series |
| 图书封面 |  |
| 描述 | 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.. |
| 出版日期 | Book 20161st edition |
| 关键词 | Numerical semigroup; Algebraic curve; AG codes; Nonunique factorization invariants; Combinatorics |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-41330-3 |
| isbn_softcover | 978-3-319-82325-6 |
| isbn_ebook | 978-3-319-41330-3Series ISSN 2509-8888 Series E-ISSN 2509-8896 |
| issn_series | 2509-8888 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 16:12:04
