Sheffer笔划基本代数的同余性

Pub Date : 2020-07-01 DOI:10.2478/auom-2020-0028

Ibrahim Senturk, T. Oner, A. Saeid

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引用次数: 1

摘要

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。

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Congruences of Sheffer stroke basic algebras

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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