Mathematica Bohemica

Mathematica Bohemica, Vol. 149, No. 1, pp. 13-25, 2024

Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras

Jaroslav Guričan, Heghine Ghumashyan

Received March 31, 2022. Published online January 4, 2023.

Abstract: 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.

Keywords: (strong) endomorphism kernel property; congruence relation; Brouwerian semilattice; Brouwerian algebra; dual generalized Boolean algebra; direct sum; factorable congruences

Classification MSC: 03G25, 06E99, 08A30, 08A35, 08B26

DOI: 10.21136/MB.2023.0050-22

PDF available at: Institute of Mathematics CAS Digital Mathematics Library

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Affiliations: Jaroslav Guričan (corresponding author), Comenius University Bratislava, Šafárikovo námestie 6, 814 99 Bratislava, Slovakia, e-mail: gurican@fmph.uniba.sk; Heghine Ghumashyan, European University, 10 Davit Anhaght Street, Yerevan 0037, Armenia, e-mail: hgumashyan@mail.ru

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