Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras
Mathematica Bohemica, Tome 149 (2024) no. 1, pp. 13-25
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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
Keywords: (strong) endomorphism kernel property; congruence relation; Brouwerian semilattice; Brouwerian algebra; dual generalized Boolean algebra; direct sum; factorable congruences
@article{10_21136_MB_2023_0050_22,
author = {Guri\v{c}an, Jaroslav and Ghumashyan, Heghine},
title = {Strong endomorphism kernel property for finite {Brouwerian} semilattices and relative {Stone} algebras},
journal = {Mathematica Bohemica},
pages = {13--25},
year = {2024},
volume = {149},
number = {1},
doi = {10.21136/MB.2023.0050-22},
mrnumber = {4715553},
zbl = {07830540},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0050-22/}
}
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 SP - 13 EP - 25 VL - 149 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0050-22/ DO - 10.21136/MB.2023.0050-22 LA - en ID - 10_21136_MB_2023_0050_22 ER -
%0 Journal Article %A Guričan, Jaroslav %A Ghumashyan, Heghine %T Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras %J Mathematica Bohemica %D 2024 %P 13-25 %V 149 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0050-22/ %R 10.21136/MB.2023.0050-22 %G en %F 10_21136_MB_2023_0050_22
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
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