Embedding the set of nondivisorial ideals of a numerical semigroup into Nn

Spirito Dario

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Embedding the set of nondivisorial ideals of a numerical semigroup into Nn

机译：将数值半群的非正式理想嵌入NN

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摘要

The set g(0)(S) of the classes of nondivisorial ideals of a numerical semigroup S can be endowed with a natural partial order induced by the set of star operations on S. We study embeddings of g(0)(S) into N-n, specializing on three families of numerical semigroups with radically different behavior.

机译：数字半群S的非定性理想的类的组G（0）可以通过由S的星形操作集诱导的自然部分顺序赋予。我们研究了G（0）（s）的嵌入 NN，专门从事三个数值半群的系列，不同的行为。

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来源
《Journal of algebra and its applications》 |2018年第11期|共29页
作者
Spirito Dario;
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作者单位

Univ Roma Tre Dipartimento Matemat Largo San Leonardo Murialdo 1 I-00146 Rome Italy;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Numerical semigroups; star operations; divisorial ideals; order dimension; tight embedding;

机译：数值半群;星际运营;划分理想;订单维度;嵌入紧;

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专利

1. Embedding the set of nondivisorial ideals of a numerical semigroup into Nn [J] . Spirito Dario Journal of algebra and its applications . 2018,第11期

机译：将数值半群的非正式理想嵌入NN
2. Minimal generating sets for relative ideals in numerical semigroups of multiplicity eight [J] . Herzinger K, Sanford R Communications in algebra . 2004,第12期

机译：多重八数值半群中相对理想的最小生成集
3. Delta sets for nonsymmetric numerical semigroups with embedding dimension three [J] . Pedro A.García-Sánchez, DavidLlena, AlessioMoscariello Forum mathematicum . 2018,第1期

机译：Delta为非对称数值半群设置，嵌入尺寸三
4. Automatic Test Set Generator with Numeric Constraints Abstraction for Embedded Reactive Systems: AUTSEG V2 [C] . Mariem Abdelmoula, Daniel Gaffe, Michel Auguin International Conference on Advances in System Testing and Validation Lifecycle . 2015

机译：具有数字约束的自动测试集发电机抽象，用于嵌入式反应系统：Autseg V2
5. The Structure Theorem for Sets of Length for Numerical Semigroups [D] . Moskowitz, Gilad. 2021

机译：用于数值半群的长度集的结构定理
6. Ideal Theory in Semigroups Based on Intersectional Soft Sets [O] . Seok Zun Song, Hee Sik Kim, Young Bae Jun -1

机译：基于相交软集的半群理想理论
7. Embedding the set of nondivisorial ideals of a numerical semigroup into ℕn [O] . Dario Spirito 2018

机译：将数字半群的非正式主流理想嵌入到ℕn中

Embedding the set of nondivisorial ideals of a numerical semigroup into Nn

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