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Titlebook: Numerical Semigroups and Applications; Abdallah Assi,Marco D‘Anna,Pedro A. García-Sánchez Book 2020Latest edition Springer Nature Switzerl

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发表于 2025-3-21 16:25:04 | 显示全部楼层 |阅读模式
书目名称Numerical Semigroups and Applications
编辑Abdallah Assi,Marco D‘Anna,Pedro A. García-Sánchez
视频video
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
丛书名称RSME Springer Series
图书封面Titlebook: Numerical Semigroups and Applications;  Abdallah Assi,Marco D‘Anna,Pedro A. García-Sánchez Book 2020Latest edition Springer Nature Switzerl
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 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..
出版日期Book 2020Latest edition
关键词Numerical semigroup; Algebraic curve; AG codes; Nonunique factorization invariants; Combinatorics
版次2
doihttps://doi.org/10.1007/978-3-030-54943-5
isbn_ebook978-3-030-54943-5Series ISSN 2509-8888 Series E-ISSN 2509-8896
issn_series 2509-8888
copyrightSpringer Nature Switzerland AG 2020
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发表于 2025-3-22 00:05:35 | 显示全部楼层
Numerical Semigroups and Applications978-3-030-54943-5Series ISSN 2509-8888 Series E-ISSN 2509-8896
发表于 2025-3-22 00:41:54 | 显示全部楼层
Abdallah Assi,Marco D‘Anna,Pedro A. García-SánchezAddressed 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
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Semigroup of an Irreducible Meromorphic Series,Let . be an algebraically closed field of characteristic zero and let . be a nonzero polynomial of . where . denotes the field of meromorphic series in ..
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Factorizations and Divisibility,Let . be a numerical semigroup minimally generated by .. For ., recall that the set of factorizations of . is ., which is the set of nonnegative integer solutions to.
发表于 2025-3-23 02:35:00 | 显示全部楼层
Irreducible Numerical Semigroups,ps was initially to express any numerical semigroup as a finite intersection of irreducible numerical semigroups, and then derive properties of the original semigroup in terms of the irreducibles that appear in this decomposition.
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RSME Springer Serieshttp://image.papertrans.cn/n/image/669170.jpg
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