NDLI: EI, involutory and EQI-ideal in bounded BCK-algebras

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EI, involutory and EQI-ideal in bounded BCK-algebras

Content Provider	Springer Nature Link
Author	Khosravi shoar, S.
Copyright Year	2015
Abstract	The aim of this work is to investigate the relationship between ideals in bounded BCK-algebras so we introduce the concepts of involutory and EI-ideals in bounded BCK-algebras and characterise their properties. Also we introduce the concepts of EQI-algebras and EQI-ideals in bounded BCK-algebras and show that EQI-algebras include some important BCK structures such as involutory BCK-algebras, commutative and PC-lattices. The relationships between these ideals and quotient algebras that are constructed via these ideals are described. We clarify that EI, involutory and commutative ideals coincide in PC-lattices, whereas they are not the same in bounded BCK-algebras in general. It is proved that EQI-ideals contain some current ideals such as involutory, commutative, positive implicative and implicative ideals.
Starting Page	313
Ending Page	324
Page Count	12
File Format	PDF
ISSN	10129405
Journal	Afrika Matematika
Volume Number	27
Issue Number	1-2
e-ISSN	21907668
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-06-17
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Involutory ideal EI-ideal EQI-ideal EQI-algebras BCK-algebras, BCI-algebras Substructural logics Mathematics Applications of Mathematics History of Mathematical Sciences Mathematics Education
Content Type	Text
Resource Type	Article
Subject	Mathematics

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