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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Symmetric (Not Complete Intersection) Semigroups Generated by Six Elements,We consider symmetric (not complete intersection) numerical semigroups .., generated by a set of six positive integers {.., …, ..}, ., and derive inequalities for degrees of syzygies of such semigroups and find the lower bound for their Frobenius numbers. We show that this bound may be strengthened if .. satisfies the Watanabe lemma.

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Arf Numerical Semigroups with Multiplicity 9 and 10,In this work we give a new characterization of Arf numerical semigroups and use it to parametrize Arf numerical semigroups with multiplicity 9 and 10.

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Lacerate

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Torsion in Tensor Products over One-Dimensional Domains,Over a one-dimensional Gorenstein local domain ., let . be the endomorphism ring of the maximal of ., viewed as a subring of the integral closure .. If there exist finitely generated .-modules . and ., neither of them free, whose tensor product is torsion-free, we show that . must be local with the same residue field as ..

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Springer INdAM Serieshttp://image.papertrans.cn/n/image/669167.jpg

與野獸博斗者

https://doi.org/10.1007/978-3-030-40822-0Numerical semigroups; Semigroup rings; Monomial curves; Affine monoids; Wilf conjecture

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Book 2020cluding 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

一起平行

2281-518X ults and examples that are very difficult to find in a struc.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 el

Multiple

Syzygies of Numerical Semigroup Rings, a Survey Through Examples,quence of integers in arithmetic progression. Finally, we describe how the resolution is constructed when the semigroup is obtained by gluing of two numerical semigroups of smaller embedding dimension. Along the paper, we provide several non-trivial examples to illustrate our results.