Homomorphic images of subdirectly irreducible groupoids

David Stanovský

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 3, page 443-450
  • ISSN: 0010-2628

Abstract

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A groupoid H is a homomorphic image of a subdirectly irreducible groupoid G (over its monolith) if and only if H has a smallest ideal.

How to cite

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Stanovský, David. "Homomorphic images of subdirectly irreducible groupoids." Commentationes Mathematicae Universitatis Carolinae 42.3 (2001): 443-450. <http://eudml.org/doc/248759>.

@article{Stanovský2001,
abstract = {A groupoid $H$ is a homomorphic image of a subdirectly irreducible groupoid $G$ (over its monolith) if and only if $H$ has a smallest ideal.},
author = {Stanovský, David},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {groupoid; subdirect irreducibility; groupoids; subdirect irreducibility; congruences},
language = {eng},
number = {3},
pages = {443-450},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Homomorphic images of subdirectly irreducible groupoids},
url = {http://eudml.org/doc/248759},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Stanovský, David
TI - Homomorphic images of subdirectly irreducible groupoids
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 3
SP - 443
EP - 450
AB - A groupoid $H$ is a homomorphic image of a subdirectly irreducible groupoid $G$ (over its monolith) if and only if $H$ has a smallest ideal.
LA - eng
KW - groupoid; subdirect irreducibility; groupoids; subdirect irreducibility; congruences
UR - http://eudml.org/doc/248759
ER -

References

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  1. Ježek J., Kepka T., Ideal-free CIM-groupoids and open convex sets, Lecture Notes in Math. 1004 166-175 Springer Verlag (1983). (1983) MR0716182
  2. Kepka T., On a class of subdirectly irreducible groupoids, Acta Univ. Carolinae Math. Phys. (1981), 22.1 17-24. (1981) Zbl0478.08005MR0635973
  3. Kepka T., A note on subdirectly irreducible groupoids, Acta Univ. Carolinae Math. Phys. (1981), 22.1 25-28. (1981) Zbl0481.08001MR0635974
  4. Kepka T., On a class of groupoids, Acta Univ. Carolinae Math. Phys. (1981), 22.1 29-49. (1981) Zbl0481.08002MR0635975

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