C 族半群及其诱导有序

IF 2.3 3区数学 Q1 MATHEMATICS

Mathematics Pub Date : 2024-09-16 DOI:10.3390/math12182889

Daniel Marín-Aragón, Raquel Tapia-Ramos

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引用次数: 0

摘要

设 C⊂Np 是一个整数多面体圆锥。如果 |C∖S|<+∞，则仿射半群 S⊂C 是一个 C 半群。对这种结构的研究一直使用单项式阶。主要问题在于这些阶的选择是任意的。在本研究中，我们选择半群本身给出的阶，这是一种更自然的阶。这使我们能够将数字半群理论中的一些定义和结果推广到 C 半群。

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C-Semigroups and Their Induced Order

Let C⊂Np be an integer polyhedral cone. An affine semigroup S⊂C is a C-semigroup if |C∖S|<+∞. This structure has always been studied using a monomial order. The main issue is that the choice of these orders is arbitrary. In the present work, we choose the order given by the semigroup itself, which is a more natural order. This allows us to generalise some of the definitions and results known from numerical semigroup theory to C-semigroups.

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来源期刊

Mathematics Mathematics-General Mathematics

CiteScore

4.00

自引率

16.70%

发文量

4032

审稿时长

21.9 days

期刊介绍： Mathematics (ISSN 2227-7390) is an international, open access journal which provides an advanced forum for studies related to mathematical sciences. It devotes exclusively to the publication of high-quality reviews, regular research papers and short communications in all areas of pure and applied mathematics. Mathematics also publishes timely and thorough survey articles on current trends, new theoretical techniques, novel ideas and new mathematical tools in different branches of mathematics.