Some monounary algebras with EKP

Emília Halušková

Mathematica Bohemica (2020)

  • Volume: 145, Issue: 4, page 401-414
  • ISSN: 0862-7959

Abstract

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An algebra 𝒜 is said to have the endomorphism kernel property (EKP) if every congruence on 𝒜 is the kernel of some endomorphism of 𝒜 . Three classes of monounary algebras are dealt with. For these classes, all monounary algebras with EKP are described.

How to cite

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Halušková, Emília. "Some monounary algebras with EKP." Mathematica Bohemica 145.4 (2020): 401-414. <http://eudml.org/doc/297055>.

@article{Halušková2020,
abstract = {An algebra $\mathcal \{A\}$ is said to have the endomorphism kernel property (EKP) if every congruence on $\mathcal \{A\}$ is the kernel of some endomorphism of $\mathcal \{A\}$. Three classes of monounary algebras are dealt with. For these classes, all monounary algebras with EKP are described.},
author = {Halušková, Emília},
journal = {Mathematica Bohemica},
keywords = {monounary algebra; endomorphism; congruence; kernel},
language = {eng},
number = {4},
pages = {401-414},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some monounary algebras with EKP},
url = {http://eudml.org/doc/297055},
volume = {145},
year = {2020},
}

TY - JOUR
AU - Halušková, Emília
TI - Some monounary algebras with EKP
JO - Mathematica Bohemica
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 145
IS - 4
SP - 401
EP - 414
AB - An algebra $\mathcal {A}$ is said to have the endomorphism kernel property (EKP) if every congruence on $\mathcal {A}$ is the kernel of some endomorphism of $\mathcal {A}$. Three classes of monounary algebras are dealt with. For these classes, all monounary algebras with EKP are described.
LA - eng
KW - monounary algebra; endomorphism; congruence; kernel
UR - http://eudml.org/doc/297055
ER -

References

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