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Article . 2022
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Article . 2022
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BL-ALGEBRAS DEFINED BY AN OPERATOR

BL-algebras defined by an operator
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2022 Turkey Publisher:Honam Mathematical Society, Gwangju
Authors: Oner, Tahsin; Katican, Tugce; Saeid, Arsham Borumand;

handle: 11454/79054

BL-ALGEBRAS DEFINED BY AN OPERATOR

Abstract

Summary: 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.

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Turkey
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Keywords

Sheffer Stroke, MV-algebras, filter, Sheffer stroke, congruence, (Sheffer stroke) BL-algebra, Fuzzy Filters, Other algebras related to logic

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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