Geodesic
Relative polars in ordered sets
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 415-429

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
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     author = {Hala\v{s}, Radom{\'\i}r},
     title = {Relative polars in ordered sets},
     journal = {Czechoslovak Mathematical Journal},
     pages = {415--429},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {2000},
     mrnumber = {1761398},
     zbl = {1047.06001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2000__50_2_a15/}
}
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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/