| 書目名稱 | Numerical Semigroups and Applications | | 編輯 | Abdallah Assi,Marco D‘Anna,Pedro A. García-Sánchez | | 視頻video | http://file.papertrans.cn/670/669170/669170.mp4 | | 概述 | Addressed to undergraduate students, and to reasearchers who want to see the state of art in numerical semigroups research.Contains many examples and tutorials with the (free) numericalsgps GAP packag | | 叢書名稱 | RSME Springer Series | | 圖書封面 |  | | 描述 | .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 K?hler 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.. | | 出版日期 | Book 2020Latest edition | | 關(guān)鍵詞 | Numerical semigroup; Algebraic curve; AG codes; Nonunique factorization invariants; Combinatorics | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-030-54943-5 | | isbn_ebook | 978-3-030-54943-5Series ISSN 2509-8888 Series E-ISSN 2509-8896 | | issn_series | 2509-8888 | | copyright | Springer Nature Switzerland AG 2020 |
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