DM-GAA

ISSN 1509-9415 (print version)

ISSN 2084-0373 (electronic version)

https://doi.org/10.7151/dmgaa

Discussiones Mathematicae - General Algebra and Applications

Cite Score (2023): 0.6

SJR (2023): 0.214

SNIP (2023): 0.604

Index Copernicus (2022): 121.02

H-Index: 5

Discussiones Mathematicae - General Algebra and Applications

Article in volume

Authors:

T. Oner

Tahsin Oner

Department of Mathematics
Faculty of Science, Ege University
Izmir, Turkey

email: tahsin.oner@ege.edu.tr

T. Katican

Tugce Katican

Department of Mathematics
Faculty of Arts and Sciences
Izmir University of Economics
Izmir, Turkey

email: tugcektcn@gmail.com

A. Borumand Saeid

Arsham Borumand Saeid

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

email: arsham@uk.ac.ir

Title:

On Sheffer stroke BE-algebras

PDF

Source:

Discussiones Mathematicae - General Algebra and Applications 42(2) (2022) 293-314

Received: 2020-11-21 , Revised: 2022-03-29 , Accepted: 2022-04-13 , Available online: 2022-10-05 , https://doi.org/10.7151/dmgaa.1391

Abstract:

In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE- algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE-filter of a SBE-algebra is a SBE-subalgebra but the converse of this statement is not true. Besides we construct quotient SBE-algebras via a congruence relation defined by a special SBE-filter. We discuss SBE-homomorphisms and their properties between SBE-algebras. Finally, a relation between Sheffer stroke Hilbert algebras and SBE-algebras is established.

Keywords:

Sheffer stroke, SBE-algebra, congruence, SBE-homomorphism

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