Congruences of Sheffer stroke basic algebras

Makaleler > Tam Makale · 2020

Yazarlar: İbrahim ŞENTÜRK, Tahsin ÖNER, Arsham Borumand Saeıd

Analele Universitatii "Ovidius" Constanta - Seria Matematica, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2020, cilt 28, ss 209-228

DOI: 10.2478/auom-2020-0028

Özet

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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