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Congruences of Sheffer stroke basic algebras
Analele Universitatii "Ovidius" Constanta - Seria Matematica ( IF 0.886 ) Pub Date : 2020-07-01 , DOI: 10.2478/auom-2020-0028 Ibrahim Senturk 1 , Tahsin Oner 1 , Arsham Borumand Saeid 2
Analele Universitatii "Ovidius" Constanta - Seria Matematica ( IF 0.886 ) Pub Date : 2020-07-01 , DOI: 10.2478/auom-2020-0028 Ibrahim Senturk 1 , Tahsin Oner 1 , Arsham Borumand Saeid 2
Affiliation
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.
中文翻译:
Sheffer 中风基本代数的同余式
摘要 本文介绍了谢弗笔画基本代数中的同余式和(阶、素数和相容)滤波器。它们相互关联。通过关注过滤器和同余在这些结构中的属性,还给出了它们之间的一些关系。除此之外,在兼容滤波器和 𝒜/ Θ (F) 的帮助下构建了一个基本代数。此外,还陈述并证明了使用素数滤波器和𝒜/ Θ (F) 的谢弗笔画基本代数的表示定理。
更新日期:2020-07-01
中文翻译:
Sheffer 中风基本代数的同余式
摘要 本文介绍了谢弗笔画基本代数中的同余式和(阶、素数和相容)滤波器。它们相互关联。通过关注过滤器和同余在这些结构中的属性,还给出了它们之间的一些关系。除此之外,在兼容滤波器和 𝒜/ Θ (F) 的帮助下构建了一个基本代数。此外,还陈述并证明了使用素数滤波器和𝒜/ Θ (F) 的谢弗笔画基本代数的表示定理。