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http://dx.doi.org/10.5831/HMJ.2022.44.2.165

BL-ALGEBRAS DEFINED BY AN OPERATOR  

Oner, Tahsin (Department of Mathematics, Faculty of Science, Ege University)
Katican, Tugce (Department of Mathematics, Faculty of Arts and Sciences, Izmir University of Economics)
Saeid, Arsham Borumand (Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman)
Publication Information
Honam Mathematical Journal / v.44, no.2, 2022 , pp. 165-178 More about this Journal
Abstract
In this paper, Sheffer stroke BL-algebra and its properties are investigated. It is shown that a Cartesian product of two Sheffer stroke BL-algebras is a Sheffer stroke BL-algebra. After describing a filter of Sheffer stroke BL-algebra, a congruence relation on a Sheffer stroke BL-algebra is defined via its filter, and quotient of a Sheffer stroke BL-algebra is constructed via a congruence relation. Also, it is defined a homomorphism between Sheffer stroke BL-algebras and is presented its properties. Thus, it is stated that the class of Sheffer stroke BL-algebras forms a variety.
Keywords
(Sheffer stroke) BL-algebra; Sheffer stroke; filter; congruence;
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