书目名称 | Numerical Semigroups | 编辑 | J.C. Rosales,P. A. García-Sánchez | 视频video | http://file.papertrans.cn/670/669168/669168.mp4 | 概述 | First monograph devoted exclusively to the study of numerical semigroups.Presents various applications of numerical semigroups including number theory, coding theory, algebraic geometry, and others.Th | 丛书名称 | Developments in Mathematics | 图书封面 |  | 描述 | Let N be the set of nonnegative integers. A numerical semigroup is a nonempty subset S of N that is closed under addition, contains the zero element, and whose complement in N is ?nite. If n ,...,n are positive integers with gcd{n ,...,n } = 1, then the set hn ,..., 1 e 1 e 1 n i = {? n +··· + ? n | ? ,...,? ? N} is a numerical semigroup. Every numer e 1 1 e e 1 e ical semigroup is of this form. The simplicity of this concept makes it possible to state problems that are easy to understand but whose resolution is far from being trivial. This fact attracted several mathematicians like Frobenius and Sylvester at the end of the 19th century. This is how for instance the Frobenius problem arose, concerned with ?nding a formula depending on n ,...,n for the largest integer not belonging to hn ,...,n i (see [52] 1 e 1 e for a nice state of the art on this problem). | 出版日期 | Book 2009 | 关键词 | Additive Semigroups; Embedding Dimension; Frobenius Number; Group theory; Irreducible; Modular; Monoid; Num | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4419-0160-6 | isbn_softcover | 978-1-4614-2456-7 | isbn_ebook | 978-1-4419-0160-6Series ISSN 1389-2177 Series E-ISSN 2197-795X | issn_series | 1389-2177 | copyright | Springer Science+Business Media, LLC 2009 |
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