On valuation in semilattices
Ramana Murty, P. V. ; Engelbert, Teresa
Mathématiques et Sciences humaines, Tome 92 (1985), p. 19-44 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1985-01-01
@article{MSH_1985__90__19_0,
     author = {Ramana Murty, P. V. and Engelbert, Teresa},
     title = {On valuation in semilattices},
     journal = {Math\'ematiques et Sciences humaines},
     volume = {92},
     year = {1985},
     pages = {19-44},
     mrnumber = {820164},
     zbl = {0579.06007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/MSH_1985__90__19_0}
}

Ramana Murty, P. V.; Engelbert, Teresa. On valuation in semilattices. Mathématiques et Sciences humaines, Tome 92 (1985) pp. 19-44. http://gdmltest.u-ga.fr/item/MSH_1985__90__19_0/

[1] Birkhoff G., Latice Theory, New York, American Mathematical Society, Colloq.Publ., 3rd Edition,1967. | Zbl 0153.02501

[2] Bordes G., "Metri des données definies par des valuations sur un demitreillis ", Math. sci. Hum., 56(1976), 89-95. | Numdam | MR 444536 | Zbl 0367.06007

[3] Gratzer G., General Lattice Theory, New York, Academic Press Inc., New York 10003, 1978. | MR 509213 | Zbl 0436.06001

[4] Monjardet B., "Metrics on partially ordered sets - a survey" Discrete Mathematics, 35(1981) 173-184. | MR 620670 | Zbl 0463.46016

[5] Ramana Murty, P.V., and Sr. Teresa Engelbert., "On valuations and standard ideals in Lattices", Mathematics Seminar Notes, volo.9(1982) 371-386. | MR 650743 | Zbl 0481.06006

[6] Rohdes, J.B., "Modular and Distributive semilattices", Trans. Amer. Math. Soc.201(1975)31-41. | MR 351935 | Zbl 0326.06006

[7] Surya Ara Ana Murti Ganti., " Characterization of Pseudometric Lattices", Mathematics Seminar Notes Vol.6 (1978) 341-344. | MR 512633 | Zbl 0397.06006

[8] Szasz, G., Introduction to Lattice Theory, New York and London, Academic Press, 3rd edition, 1963. | MR 166118 | Zbl 0126.03703

[9] Wilcox,L.R. and Smilley, M.F., "Metric Lattices" Ann.Math 40(2)(1939) 309-327. | JFM 65.0189.04 | MR 1503459 | Zbl 0021.10802