Note on the center of a lattice

Melvin F. Janowitz

Mathematica Slovaca (1978)

  • Volume: 28, Issue: 3, page 235-242
  • ISSN: 0139-9918

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Janowitz, Melvin F.. "Note on the center of a lattice." Mathematica Slovaca 28.3 (1978): 235-242. <http://eudml.org/doc/34033>.

@article{Janowitz1978,
author = {Janowitz, Melvin F.},
journal = {Mathematica Slovaca},
keywords = {center of a lattice; closed sublattice; congruence relations; weak projectivity},
language = {eng},
number = {3},
pages = {235-242},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Note on the center of a lattice},
url = {http://eudml.org/doc/34033},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Janowitz, Melvin F.
TI - Note on the center of a lattice
JO - Mathematica Slovaca
PY - 1978
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 28
IS - 3
SP - 235
EP - 242
LA - eng
KW - center of a lattice; closed sublattice; congruence relations; weak projectivity
UR - http://eudml.org/doc/34033
ER -

References

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  2. FOULIS D. J., A note on orthomodular lattices, Portugal. Math., 21, 1962, 65-72. (1962) Zbl0106.24302MR0148581
  3. GRÄTZER G., SCHMIDT E. T., Two notes on lattice-congгuences, Budapest. Tudomány-Egyetem. Annales. Sectio Math., 1, 1958, 83-87. (1958) MR0099943
  4. GRÄTZER G., SCHMIDT E. T., Ideals and congruence relations in lattices, Acta Math. Acad. Sci. Hung., 9, 1958, 137-175. (1958) Zbl0085.02002MR0100560
  5. HASHIMOTO J., Ideal theory for lattices, Math. Japon., 2, 1952, 149-186. (1952) Zbl0048.25903MR0057224
  6. HOLLAND, Jr. S. S., A Radon-Nikodym theorem in dimension lattices, Tгans. Amer. Math. Soc, 108, 1963, 66-87. (1963) Zbl0118.02501MR0151407
  7. IQBALUNNISA, Normal, simple and neutral congгuences on lattices, lllinois J. Math., 10, 1966, 227-234. (1966) MR0190046
  8. JAKUBÍK J., Centгum nekonečne distributívnych zväzov, Mat. fyz. Čas., 8, 1957, 116-120. (1957) 
  9. JAKUBÍK J., Center of a complete lattice, Czechoslovak Math. J., 23, 1973, 125-138. (1973) Zbl0262.06006MR0319831
  10. JAKUBÍK J., Center of a bounded lattice, Mat. Čas., 25, 1975, 339-343. (1975) Zbl0316.06003MR0444537
  11. JANOWITZ M. F., The center of a complete relatively complemented lattice is a complete sublattice, Proc. Amer. Math. Soc., 18, 1967, 189-190. (1967) Zbl0154.01002MR0200209
  12. JANOWITZ M. F., On the center of a complete distributive lattice, Univ. of New Mexico Tech. Repoгt No. 135, 1967. (1967) 
  13. JANOWITZ M. F., Section semicomplemented lattices, Math. Z., 108, 1968, 63-76. (1968) Zbl0167.01902MR0241329
  14. JANOWITZ M. F., A characterisation of standaгd ideals, Acta Math. Acad. Sci. Hung., 16,1965, 289-301. (1965) MR0186589
  15. JANOWITZ M. F., On a papeг by Iqbalunissa, Fund. Math., 78, 1973, 177-182. (1973) MR0318020
  16. KAPLANSKY I., Any oгthocomplemented complete modular lattice is a continuous geometry, Ann. Math., 61, 1955, 524-541. (1955) MR0088476
  17. MAEDA S., On гelatively semi-oгthocomplemented lattices, Hiгoshima Univ. J. Sci., Ser. A, 24, 1960, 155-161. (1960) MR0123494
  18. von NEUMANN J., Continuous geometry, Princeton, 1960. (1960) Zbl0171.28003

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