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

Jaroslav Guričan; Heghine Ghumashyan

Mathematica Bohemica (2024)

  • Issue: 1, page 13-25
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Guričan, Jaroslav, and Ghumashyan, Heghine. "Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras." Mathematica Bohemica (2024): 13-25. <http://eudml.org/doc/299219>.

@article{Guričan2024,
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.},
author = {Guričan, Jaroslav, Ghumashyan, Heghine},
journal = {Mathematica Bohemica},
keywords = {(strong) endomorphism kernel property; congruence relation; Brouwerian semilattice; Brouwerian algebra; dual generalized Boolean algebra; direct sum; factorable congruences},
language = {eng},
number = {1},
pages = {13-25},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras},
url = {http://eudml.org/doc/299219},
year = {2024},
}

TY - JOUR
AU - Guričan, Jaroslav
AU - Ghumashyan, Heghine
TI - Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras
JO - Mathematica Bohemica
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 13
EP - 25
AB - 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.
LA - eng
KW - (strong) endomorphism kernel property; congruence relation; Brouwerian semilattice; Brouwerian algebra; dual generalized Boolean algebra; direct sum; factorable congruences
UR - http://eudml.org/doc/299219
ER -

References

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