Strong retracts of unary algebras

Rozália Sz. Madarász; Dragan Mašulović; Boža Tasić

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 1, page 205-212
  • ISSN: 0011-4642

Abstract

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This paper introduces the notion of a strong retract of an algebra and then focuses on strong retracts of unary algebras. We characterize subuniverses of a unary algebra which are carriers of its strong retracts. This characterization enables us to describe the poset of strong retracts of a unary algebra under inclusion. Since this poset is not necessarily a lattice, we give a necessary and sufficient condition for the poset to be a lattice, as well as the full description of the poset.

How to cite

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Madarász, Rozália Sz., Mašulović, Dragan, and Tasić, Boža. "Strong retracts of unary algebras." Czechoslovak Mathematical Journal 51.1 (2001): 205-212. <http://eudml.org/doc/30628>.

@article{Madarász2001,
abstract = {This paper introduces the notion of a strong retract of an algebra and then focuses on strong retracts of unary algebras. We characterize subuniverses of a unary algebra which are carriers of its strong retracts. This characterization enables us to describe the poset of strong retracts of a unary algebra under inclusion. Since this poset is not necessarily a lattice, we give a necessary and sufficient condition for the poset to be a lattice, as well as the full description of the poset.},
author = {Madarász, Rozália Sz., Mašulović, Dragan, Tasić, Boža},
journal = {Czechoslovak Mathematical Journal},
keywords = {inflations of algebras; retracts of algebras; unary algebras; inflations of algebras; retracts of algebras; unary algebras},
language = {eng},
number = {1},
pages = {205-212},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Strong retracts of unary algebras},
url = {http://eudml.org/doc/30628},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Madarász, Rozália Sz.
AU - Mašulović, Dragan
AU - Tasić, Boža
TI - Strong retracts of unary algebras
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 1
SP - 205
EP - 212
AB - This paper introduces the notion of a strong retract of an algebra and then focuses on strong retracts of unary algebras. We characterize subuniverses of a unary algebra which are carriers of its strong retracts. This characterization enables us to describe the poset of strong retracts of a unary algebra under inclusion. Since this poset is not necessarily a lattice, we give a necessary and sufficient condition for the poset to be a lattice, as well as the full description of the poset.
LA - eng
KW - inflations of algebras; retracts of algebras; unary algebras; inflations of algebras; retracts of algebras; unary algebras
UR - http://eudml.org/doc/30628
ER -

References

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