Relative polars in ordered sets
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 415-429
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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.
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.
Classification :
06A06, 06A99
Keywords: Ordered set; distributive set; ideal; prime ideal; $R$-polar; annihilator
Keywords: Ordered set; distributive set; ideal; prime ideal; $R$-polar; annihilator
@article{CMJ_2000_50_2_a15,
author = {Hala\v{s}, Radom{\'\i}r},
title = {Relative polars in ordered sets},
journal = {Czechoslovak Mathematical Journal},
pages = {415--429},
year = {2000},
volume = {50},
number = {2},
mrnumber = {1761398},
zbl = {1047.06001},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2000_50_2_a15/}
}
Halaš, Radomír. Relative polars in ordered sets. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 415-429. http://geodesic.mathdoc.fr/item/CMJ_2000_50_2_a15/