Congruences of Sheffer stroke basic algebras-Reference-Cited by-同舟云学术

Congruences of Sheffer stroke basic algebras

Published:2020-07-01 Issue:2 Volume:28 Page:209-228
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Senturk Ibrahim¹,Oner Tahsin¹,Saeid Arsham Borumand²

Affiliation:

1. Department of Mathematics, Faculty of Sciences , Ege University , Bornova, 35100 Izmir , Turkey .

2. Department of Pure Mathematics, Faculty of Mathematics and Computer , Shahid Bahonar University of Kerman , Kerman , Iran .

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2020-0028

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