Congruences of Sheffer stroke basic algebras

Ibrahim Senturk; Tahsin Oner; Arsham Borumand Saeid

doi:10.2478/auom-2020-0028

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Congruences of Sheffer stroke basic algebras

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 28 (2020): Issue 2 (July 2020)

By: Ibrahim Senturk, Tahsin Oner and Arsham Borumand Saeid

Open Access

|Sep 2020

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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Articles in this issue

DOI: https://doi.org/10.2478/auom-2020-0028 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 209 - 228

Submitted on: Sep 26, 2019

Accepted on: Dec 6, 2019

Published on: Sep 22, 2020

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Sheffer stroke basic algebra,

(compatible, prime) filter,

congruence,

representation theorem

Related subjects:

Mathematics,

General mathematics

© 2020 Ibrahim Senturk, Tahsin Oner, Arsham Borumand Saeid, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 28 (2020): Issue 2 (July 2020)