Open Access
Research Article
Congruence relations on pseudocomplemented almost distributive lattices
*Gezahagne Mulat AddisCorresponding authorgezahagne412@gmail.comDepartment of Mathematics University of Gondar P. O. Box 196 Gondar EthiopiaGondar, EthiopiaView full profile →
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- Received:
- 30 Jun 2020
- Accepted:
- 30 Nov 2020
- Published Online:
- 27 Oct 2021
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1281
- Pages:
- 47–66
Abstract
The concept of congruence kernels and congruence cokernels are studied in pseudocomplemented almost distributive lattices. A set of equivalent conditions are derived for a given subset J of a pseudocomplemented ADL L to be a congruence kernel (resp. a congruence cokernel). Moreover, for a given congruence kernel J of L the smallest and the largest *- congruences on L having J as a kernel are given and characterized in various forms.
Keywords
Subject Classifications
06D9906D1506B10
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