On ideals of Sheffer stroke UP-algebras

Öner, Tahsin; Katican, Tuğcce

doi:10.47974/JDMSC-1568

Open Access Research Article

On ideals of Sheffer stroke UP-algebras

^*Tahsin ÖnerCorresponding authortahsin.oner@ege.edu.trDepartment of MathematicsScience FacultyEge UniversityBornova, Izmir, 35100, TurkeyView full profile → , Tuğcce Katicantugce.katican@ieu.edu.trDepartment of MathematicsFaculty of Arts and Sciencesİzmir University of Economicsİzmir, TurkeyView full profile →

* Corresponding author · click or hover a name for details

pp. 2257–2271Vol. 26Issue 8December 2023DOI: 10.47974/JDMSC-1568 Crossmark XML

Received:: 07 Jul 2021
Accepted:: 04 Feb 2022
Published Online:: 29 Dec 2023
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-1568
Pages:: 2257–2271

Abstract

The goal of the study is to introduce SUP-ideals on Sheffer Stroke UP-algebras (briefly, SUP-algebra) and its properties. We define SUP-ideals of SUP-algebras and then prove some properties. By describing a congruence relation on a SUP-algebra by the SUP-ideal, it is shown that the quotient set defined by the congruence relation is a SUP-algebra. Finally, SUP-homomorphisms on SUP-algebras are determined and the relationships between SUP-ideals of SUP-algebras are examined by means of the SUP-homomorphisms.

Keywords

SUP-algebra Sheffer stroke SUP-ideal congruence SUP-homomorphism

Subject Classifications

06F0503G2503G10

References

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