α -filters and α -order-ideals in distributive quasicomplemented semilattices

Ismael Calomino; Sergio A. Celani

Commentationes Mathematicae Universitatis Carolinae (2021)

  • Issue: 1, page 15-32
  • ISSN: 0010-2628

Abstract

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We introduce some particular classes of filters and order-ideals in distributive semilattices, called α -filters and α -order-ideals, respectively. In particular, we study α -filters and α -order-ideals in distributive quasicomplemented semilattices. We also characterize the filters-congruence-cokernels in distributive quasicomplemented semilattices through α -order-ideals.

How to cite

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Calomino, Ismael, and Celani, Sergio A.. "$\alpha $-filters and $\alpha $-order-ideals in distributive quasicomplemented semilattices." Commentationes Mathematicae Universitatis Carolinae (2021): 15-32. <http://eudml.org/doc/297806>.

@article{Calomino2021,
abstract = {We introduce some particular classes of filters and order-ideals in distributive semilattices, called $\alpha $-filters and $\alpha $-order-ideals, respectively. In particular, we study $\alpha $-filters and $\alpha $-order-ideals in distributive quasicomplemented semilattices. We also characterize the filters-congruence-cokernels in distributive quasicomplemented semilattices through $\alpha $-order-ideals.},
author = {Calomino, Ismael, Celani, Sergio A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {bounded distributive semilattice; quasicomplement; relative annihilator; order-ideal; filter},
language = {eng},
number = {1},
pages = {15-32},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {$\alpha $-filters and $\alpha $-order-ideals in distributive quasicomplemented semilattices},
url = {http://eudml.org/doc/297806},
year = {2021},
}

TY - JOUR
AU - Calomino, Ismael
AU - Celani, Sergio A.
TI - $\alpha $-filters and $\alpha $-order-ideals in distributive quasicomplemented semilattices
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2021
PB - Charles University in Prague, Faculty of Mathematics and Physics
IS - 1
SP - 15
EP - 32
AB - We introduce some particular classes of filters and order-ideals in distributive semilattices, called $\alpha $-filters and $\alpha $-order-ideals, respectively. In particular, we study $\alpha $-filters and $\alpha $-order-ideals in distributive quasicomplemented semilattices. We also characterize the filters-congruence-cokernels in distributive quasicomplemented semilattices through $\alpha $-order-ideals.
LA - eng
KW - bounded distributive semilattice; quasicomplement; relative annihilator; order-ideal; filter
UR - http://eudml.org/doc/297806
ER -

References

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