若干具有多重素数的对称数值半群的arf闭包

IF 0.2 Q4 MATHEMATICS JP Journal of Algebra Number Theory and Applications Pub Date : 2023-09-25 DOI:10.17654/0972555523024

Ahmet Çelik

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引用次数: 0

摘要

这项工作是关于对称数值半群的。对称数值半群在半群理论中占有非常重要的地位。它们在代数几何、编码理论和其他代数领域发挥着重要作用。本文研究了$S_q$对称数值半群的Arf闭包，并给出了$S_q$与Arf闭包$S_q$之间的一些关系，使得$S_q=\langle p, p q+k\rangle$，其中$p$是质数，$q \geq 1, q \in \mathbb{Z}$对于$k=1,2$和$p-1$。收稿日期:2023年6月15日修稿日期:2023年8月1日收稿日期:2023年9月12日

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ON ARF CLOSURE OF SOME SYMMETRIC NUMERICAL SEMIGROUPS WITH MULTIPLICITY -PRIME

This work is about symmetric numerical semigroups. The symmetric numerical semigroups are very important in semigroup theory. They play an important role especially in algebraic geometry, coding theory and other areas of algebra. Here, we examine Arf closure of $S_q$ symmetric numerical semigroup, and give some relations between $S_q$ and Arf closure $S_q$ such that $S_q=\langle p, p q+k\rangle$, where $p$ is a prime number and $q \geq 1, q \in \mathbb{Z}$ for $k=1,2$ and $p-1$. Received: June 15, 2023Revised: August 1, 2023Accepted: September 12, 2023

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JP Journal of Algebra Number Theory and Applications MATHEMATICS-

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期刊介绍： The JP Journal of Algebra, Number Theory and Applications is a peer-reviewed international journal. Original research papers theoretical, computational or applied, in nature, in any branch of Algebra and Number Theory are considered by the JPANTA. Together with the core topics in these fields along with their interplay, the journal promotes contributions in Diophantine equations, Representation theory, and Cryptography. Realising the need of wide range of information for any emerging area of potential research, the journal encourages the submission of related survey articles as well.