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.
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