<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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<italic>/</italic> Θ (<italic>F</italic>). Moreover, a representation theorem for Sheffer stroke basic algebra by using prime filters and 𝒜<italic>/</italic> Θ (<italic>F</italic>) is stated and proved.</p></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.

Congruences of Sheffer stroke basic algebras

Department of Mathematics, Faculty of Sciences

Department of Pure Mathematics, Faculty of Mathematics and Computer

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Congruences of Sheffer stroke basic algebras"}

In this paper, congruences and (order, prime and compatible) filters are introduced in Sheffer stroke basic algebras. They are interrelated with each other....

Congruences of Sheffer stroke basic algebras

Publié en ligne: 22 sept. 2020

Pages: 209 - 228

Reçu: 26 sept. 2019

Accepté: 06 déc. 2019

DOI: https://doi.org/10.2478/auom-2020-0028

Mots clés
Sheffer stroke basic algebra, (compatible, prime) filter, congruence, representation theorem

© 2020 Ibrahim Senturk et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Congruences of Sheffer stroke basic algebras

Publié en ligne: 22 sept. 2020

Pages: 209 - 228

Reçu: 26 sept. 2019

Accepté: 06 déc. 2019

DOI: https://doi.org/10.2478/auom-2020-0028

Mots clésSheffer stroke basic algebra, (compatible, prime) filter, congruence, representation theorem

© 2020 Ibrahim Senturk et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Sheffer stroke basic algebra, (compatible, prime) filter, congruence, representation theorem