Relative polars in ordered sets

Radomír Halaš

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 2, page 415-429
  • ISSN: 0011-4642

Abstract

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In the paper, the notion of relative polarity in ordered sets is introduced and the lattices of R -polars are studied. Connections between R -polars and prime ideals, especially in distributive sets, are found.

How to cite

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Halaš, Radomír. "Relative polars in ordered sets." Czechoslovak Mathematical Journal 50.2 (2000): 415-429. <http://eudml.org/doc/30572>.

@article{Halaš2000,
abstract = {In the paper, the notion of relative polarity in ordered sets is introduced and the lattices of $R$-polars are studied. Connections between $R$-polars and prime ideals, especially in distributive sets, are found.},
author = {Halaš, Radomír},
journal = {Czechoslovak Mathematical Journal},
keywords = {Ordered set; distributive set; ideal; prime ideal; $R$-polar; annihilator; ordered set; distributive set; ideal; prime ideal; -polar; annihilator},
language = {eng},
number = {2},
pages = {415-429},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Relative polars in ordered sets},
url = {http://eudml.org/doc/30572},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Halaš, Radomír
TI - Relative polars in ordered sets
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 2
SP - 415
EP - 429
AB - In the paper, the notion of relative polarity in ordered sets is introduced and the lattices of $R$-polars are studied. Connections between $R$-polars and prime ideals, especially in distributive sets, are found.
LA - eng
KW - Ordered set; distributive set; ideal; prime ideal; $R$-polar; annihilator; ordered set; distributive set; ideal; prime ideal; -polar; annihilator
UR - http://eudml.org/doc/30572
ER -

References

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