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Titlebook: Numerical Semigroups; IMNS 2018 Valentina Barucci,Scott Chapman,Ralf Fr?berg Book 2020 The Editor(s) (if applicable) and The Author(s), und

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書目名稱Numerical Semigroups
副標題IMNS 2018
編輯Valentina Barucci,Scott Chapman,Ralf Fr?berg
視頻videohttp://file.papertrans.cn/670/669167/669167.mp4
概述Provides the state of the art on numerical semigroups and related subjects.Offers different perspectives on research in the field.Covers results and examples that are very difficult to find in a struc
叢書名稱Springer INdAM Series
圖書封面Titlebook: Numerical Semigroups; IMNS 2018 Valentina Barucci,Scott Chapman,Ralf Fr?berg Book 2020 The Editor(s) (if applicable) and The Author(s), und
描述.This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere. The contents comprise the proceedings of the 2018 INdAM “International Meeting on Numerical Semigroups”, held in Cortona, Italy. Talks at the meeting centered not only on traditional types of numerical semigroups, such as Arf or symmetric, and their usual properties, but also on related types of semigroups, such as affine, Puiseux, Weierstrass, and primary, and their applications in other branches of algebra, including semigroup rings, coding theory, star operations, and Hilbert functions. The papers in the book reflect the variety of the talks and derive from research areas including Semigroup Theory, Factorization Theory, Algebraic Geometry, Combinatorics, Commutative Algebra, Coding Theory, and Number Theory. The book is intended for researchers and students who want to learn about recent developments in the theory of numerical semigroups and its connections with other research fields..
出版日期Book 2020
關鍵詞Numerical semigroups; Semigroup rings; Monomial curves; Affine monoids; Wilf conjecture
版次1
doihttps://doi.org/10.1007/978-3-030-40822-0
isbn_softcover978-3-030-40824-4
isbn_ebook978-3-030-40822-0Series ISSN 2281-518X Series E-ISSN 2281-5198
issn_series 2281-518X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Primality in Semigroup Rings,=?1, 2, and . is completely primal if every factor of . is primal. A ring in which every element is (completely) primal is called a pre-Schreier domain and an integrally closed pre-Schreier domain is called a Schreier domain. In this paper, we study (completely) primal elements and shed more light on the Schreier property in semigroup rings.
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,On Multi-Index Filtrations Associated to Weierstra? Semigroups, fields, with special emphasis on the case of two points. Some hints about the usage of some packages of the computer algebra software . are also given; these are however only valid for curves defined over . with . a prime number.
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Counting Numerical Semigroups by Genus and Even Gaps via Kunz-Coordinate Vectors,We construct a one-to-one correspondence between a subset of numerical semigroups with genus . and . even gaps and the integer points of a rational polytope. In particular, we give an overview to apply this correspondence to try to decide if the sequence (..) is increasing, where .. denotes the number of numerical semigroups with genus ..
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Patterns on the Numerical Duplication by Their Admissibility Degree,We develop the theory of patterns on numerical semigroups in terms of the admissibility degree. We prove that the Arf pattern induces every strongly admissible pattern, and determine all patterns equivalent to the Arf pattern. We study patterns on the numerical duplication . when .???0. We also provide a definition of patterns on rings.
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