On valuation in semilattices

P. V. Ramana Murty; Teresa Engelbert

Mathématiques et Sciences Humaines (1985)

  • Volume: 90, page 19-44
  • ISSN: 0987-6936

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Ramana Murty, P. V., and Engelbert, Teresa. "On valuation in semilattices." Mathématiques et Sciences Humaines 90 (1985): 19-44. <http://eudml.org/doc/94312>.

@article{RamanaMurty1985,
author = {Ramana Murty, P. V., Engelbert, Teresa},
journal = {Mathématiques et Sciences Humaines},
keywords = {valuation on semilattices; join-semilattice; pseudometric on a lattice},
language = {eng},
pages = {19-44},
publisher = {Ecole Pratique des hautes études, Centre de mathématique sociale et de statistique},
title = {On valuation in semilattices},
url = {http://eudml.org/doc/94312},
volume = {90},
year = {1985},
}

TY - JOUR
AU - Ramana Murty, P. V.
AU - Engelbert, Teresa
TI - On valuation in semilattices
JO - Mathématiques et Sciences Humaines
PY - 1985
PB - Ecole Pratique des hautes études, Centre de mathématique sociale et de statistique
VL - 90
SP - 19
EP - 44
LA - eng
KW - valuation on semilattices; join-semilattice; pseudometric on a lattice
UR - http://eudml.org/doc/94312
ER -

References

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  1. [1] Birkhoff G., Latice Theory, New York, American Mathematical Society, Colloq.Publ., 3rd Edition,1967. Zbl0153.02501
  2. [2] Bordes G., "Metri des données definies par des valuations sur un demitreillis ", Math. sci. Hum., 56(1976), 89-95. Zbl0367.06007MR444536
  3. [3] Gratzer G., General Lattice Theory, New York, Academic Press Inc., New York10003, 1978. Zbl0436.06001MR509213
  4. [4] Monjardet B., "Metrics on partially ordered sets - a survey" Discrete Mathematics, 35(1981) 173-184. Zbl0463.46016MR620670
  5. [5] Ramana Murty, P.V., and Sr. Teresa Engelbert., "On valuations and standard ideals in Lattices", Mathematics Seminar Notes, volo.9(1982) 371-386. Zbl0481.06006MR650743
  6. [6] Rohdes, J.B., "Modular and Distributive semilattices", Trans. Amer. Math. Soc.201(1975)31-41. Zbl0326.06006MR351935
  7. [7] SURYA ARA ANA MURTI GANTI., " Characterization of Pseudometric Lattices", Mathematics Seminar Notes Vol.6 (1978) 341-344. Zbl0397.06006MR512633
  8. [8] Szasz, G., Introduction to Lattice Theory, New York and London, Academic Press, 3rd edition, 1963. Zbl0126.03703MR166118
  9. [9] Wilcox, L.R. and Smilley, M.F., "Metric Lattices" Ann.Math40(2)(1939) 309-327. Zbl0021.10802MR1503459JFM65.0189.04

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