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Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras

Authors :
Teferi Getachew Alemayehu
Derso Abeje Engidaw
Gezahagne Mulat Addis
Source :
Journal of Mathematics. 2022:1-9
Publication Year :
2022
Publisher :
Hindawi Limited, 2022.

Abstract

In this paper, we study L -congruences and their kernel in a subclass K n , 0 of the variety of Ockham algebras A . We prove that the class of kernel L -ideals of an Ockham algebra forms a complete Heyting algebra. Moreover, for a given kernel L -ideal ξ on A , we obtain the least and the largest L -congruences on A having ξ as its kernel.

Details

ISSN :
23144785 and 23144629
Volume :
2022
Database :
OpenAIRE
Journal :
Journal of Mathematics
Accession number :
edsair.doi.dedup.....901407a3753975ded8c6858197e2c3e1
Full Text :
https://doi.org/10.1155/2022/7668044