Congruences of Sheffer stroke basic algebras

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-07-01 DOI:10.2478/auom-2020-0028

Ibrahim Senturk, T. Oner, A. Saeid

引用次数: 1

Abstract

Abstract In this paper, congruences and (order, prime and compatible) filters are introduced in Sheffer stroke basic algebras. They are interrelated with each other. Also some relationships between filters and congruences by focusing on their properties in these structures are given. In addition to these, a basic algebra is constructed by the help of compatible filter and 𝒜/ Θ (F). Moreover, a representation theorem for Sheffer stroke basic algebra by using prime filters and 𝒜/ Θ (F) is stated and proved.

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Sheffer笔划基本代数的同余性

摘要本文在Sheffer笔划基本代数中引入了同余和(阶、素、相容)滤波器。它们是相互关联的。并着重讨论了滤波器与同余的性质，给出了它们之间的关系。在此基础上，利用相容滤波器和 / Θ (F)构造了一个基本代数，并给出了用素数滤波器和 / Θ (F)表示Sheffer冲程基本代数的定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.