Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras
Mathematica Bohemica, Tome 149 (2024) no. 1, pp. 13-25.

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We show that all finite Brouwerian semilattices have strong endomorphism kernel property (SEKP), give a new proof that all finite relative Stone algebras have SEKP and also fully characterize dual generalized Boolean algebras which possess SEKP.
DOI : 10.21136/MB.2023.0050-22
Classification : 03G25, 06E99, 08A30, 08A35, 08B26
Keywords: (strong) endomorphism kernel property; congruence relation; Brouwerian semilattice; Brouwerian algebra; dual generalized Boolean algebra; direct sum; factorable congruences
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Guričan, Jaroslav; Ghumashyan, Heghine. Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras. Mathematica Bohemica, Tome 149 (2024) no. 1, pp. 13-25. doi : 10.21136/MB.2023.0050-22. http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0050-22/

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