Pseudocomplemented and Stone Posets

Ivan Chajda

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2012)

  • Volume: 51, Issue: 1, page 29-34
  • ISSN: 0231-9721

Abstract

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We show that every pseudocomplemented poset can be equivalently expressed as a certain algebra where the operation of pseudocomplementation can be characterized by means of remaining two operations which are binary and nullary. Similar characterization is presented for Stone posets.

How to cite

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Chajda, Ivan. "Pseudocomplemented and Stone Posets." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 51.1 (2012): 29-34. <http://eudml.org/doc/246558>.

@article{Chajda2012,
abstract = {We show that every pseudocomplemented poset can be equivalently expressed as a certain algebra where the operation of pseudocomplementation can be characterized by means of remaining two operations which are binary and nullary. Similar characterization is presented for Stone posets.},
author = {Chajda, Ivan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {pseudocomplement; pseudocomplemented poset; Stone poset; pseudocomplements; pseudocomplemented posets; Stone posets},
language = {eng},
number = {1},
pages = {29-34},
publisher = {Palacký University Olomouc},
title = {Pseudocomplemented and Stone Posets},
url = {http://eudml.org/doc/246558},
volume = {51},
year = {2012},
}

TY - JOUR
AU - Chajda, Ivan
TI - Pseudocomplemented and Stone Posets
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2012
PB - Palacký University Olomouc
VL - 51
IS - 1
SP - 29
EP - 34
AB - We show that every pseudocomplemented poset can be equivalently expressed as a certain algebra where the operation of pseudocomplementation can be characterized by means of remaining two operations which are binary and nullary. Similar characterization is presented for Stone posets.
LA - eng
KW - pseudocomplement; pseudocomplemented poset; Stone poset; pseudocomplements; pseudocomplemented posets; Stone posets
UR - http://eudml.org/doc/246558
ER -

References

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  1. Balbes, R., Horn, A., Stone lattices, Duke Math. J. 37 (1970), 537–545. (1970) Zbl0207.02802MR0277448
  2. Frink, O., 10.1215/S0012-7094-62-02951-4, Duke Math. J. 29 (1962), 505–514. (1962) Zbl0114.01602MR0140449DOI10.1215/S0012-7094-62-02951-4
  3. Nimbhokar, S. K., Rahemani, A., 10.2478/s11533-011-0031-1, Central European Journal of Math. 9 (2011), 929–933. (2011) MR2805325DOI10.2478/s11533-011-0031-1
  4. Venkatanarasimhan, P. V., 10.1090/S0002-9939-1971-0272687-X, Proc. Amer. Math. Soc. 28 (1971), 9–17. (1971) Zbl0218.06002MR0272687DOI10.1090/S0002-9939-1971-0272687-X

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