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Article

Guričan, Jaroslav ; Ghumashyan, Heghine
Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras. (English). Mathematica Bohemica, vol. 149 (2024), issue 1, pp. 13-25
MSC: 03G25, 06E99, 08A30, 08A35, 08B26 | DOI: 10.21136/MB.2023.0050-22
Keywords:
(strong) endomorphism kernel property; congruence relation; Brouwerian semilattice; Brouwerian algebra; dual generalized Boolean algebra; direct sum; factorable congruences
Summary:
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.
References:
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