Some monounary algebras with EKP
Mathematica Bohemica, Tome 145 (2020) no. 4, pp. 401-414
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An algebra $\cal A$ is said to have the endomorphism kernel property (EKP) if every congruence on $\cal A$ is the kernel of some endomorphism of $\cal A$. Three classes of monounary algebras are dealt with. For these classes, all monounary algebras with EKP are described.
DOI :
10.21136/MB.2019.0128-18
Classification :
08A30, 08A35, 08A60
Keywords: monounary algebra; endomorphism; congruence; kernel
Keywords: monounary algebra; endomorphism; congruence; kernel
@article{10_21136_MB_2019_0128_18,
author = {Halu\v{s}kov\'a, Em{\'\i}lia},
title = {Some monounary algebras with {EKP}},
journal = {Mathematica Bohemica},
pages = {401--414},
publisher = {mathdoc},
volume = {145},
number = {4},
year = {2020},
doi = {10.21136/MB.2019.0128-18},
mrnumber = {4221842},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0128-18/}
}
Halušková, Emília. Some monounary algebras with EKP. Mathematica Bohemica, Tome 145 (2020) no. 4, pp. 401-414. doi: 10.21136/MB.2019.0128-18
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