Note on the center of a lattice

Melvin F. Janowitz

Mathematica Slovaca (1978)

  • Volume: 28, Issue: 3, page 235-242
  • ISSN: 0232-0525

How to cite

top

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

top
  1. BIRKHOFF G., Lattice theoгy, third edition, Amer. Math. Soc. Colloquium Publications Vol. 25, Providence 1967. (1967) MR0227053
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.