| Title:
|
Note on the center of a lattice (English) |
| Author:
|
Janowitz, Melvin F. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
28 |
| Issue:
|
3 |
| Year:
|
1978 |
| Pages:
|
235-242 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06B05 |
| MSC:
|
06B10 |
| MSC:
|
06B23 |
| idZBL:
|
Zbl 0435.06013 |
| idMR:
|
MR534989 |
| . |
| Date available:
|
2009-09-25T08:55:59Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136179 |
| . |
| Reference:
|
[1] BIRKHOFF G.: Lattice theoгy, third edition.Amer. Math. Soc. Colloquium Publications Vol. 25, Providence 1967. MR 0227053 |
| Reference:
|
[2] FOULIS D. J.: A note on orthomodular lattices.Portugal. Math., 21, 1962, 65-72. Zbl 0106.24302, MR 0148581 |
| Reference:
|
[3] GRÄTZER G., SCHMIDT E. T.: Two notes on lattice-congгuences.Budapest. Tudomány-Egyetem. Annales. Sectio Math., 1, 1958, 83-87. MR 0099943 |
| Reference:
|
[4] GRÄTZER G., SCHMIDT E. T.: Ideals and congruence relations in lattices.Acta Math. Acad. Sci. Hung., 9, 1958, 137-175. Zbl 0085.02002, MR 0100560 |
| Reference:
|
[5] HASHIMOTO J.: Ideal theory for lattices.Math. Japon., 2, 1952, 149-186. Zbl 0048.25903, MR 0057224 |
| Reference:
|
[6] HOLLAND, Jr. S. S.: A Radon-Nikodym theorem in dimension lattices.Tгans. Amer. Math. Soc, 108, 1963, 66-87. Zbl 0118.02501, MR 0151407 |
| Reference:
|
[7] IQBALUNNISA: Normal, simple and neutral congгuences on lattices.lllinois J. Math., 10, 1966, 227-234. MR 0190046 |
| Reference:
|
[8] JAKUBÍK J.: Centгum nekonečne distributívnych zväzov.Mat. fyz. Čas., 8, 1957, 116-120. |
| Reference:
|
[9] JAKUBÍK J.: Center of a complete lattice.Czechoslovak Math. J., 23, 1973, 125-138. Zbl 0262.06006, MR 0319831 |
| Reference:
|
[10] JAKUBÍK J.: Center of a bounded lattice.Mat. Čas., 25, 1975, 339-343. Zbl 0316.06003, MR 0444537 |
| Reference:
|
[11] JANOWITZ M. F.: The center of a complete relatively complemented lattice is a complete sublattice.Proc. Amer. Math. Soc., 18, 1967, 189-190. Zbl 0154.01002, MR 0200209 |
| Reference:
|
[12] JANOWITZ M. F.: On the center of a complete distributive lattice.Univ. of New Mexico Tech. Repoгt No. 135, 1967. |
| Reference:
|
[13] JANOWITZ M. F.: Section semicomplemented lattices.Math. Z., 108, 1968, 63-76. Zbl 0167.01902, MR 0241329 |
| Reference:
|
[14] JANOWITZ M. F.: A characterisation of standaгd ideals.Acta Math. Acad. Sci. Hung., 16,1965, 289-301. MR 0186589 |
| Reference:
|
[15] JANOWITZ M. F.: On a papeг by Iqbalunissa.Fund. Math., 78, 1973, 177-182. MR 0318020 |
| Reference:
|
[16] KAPLANSKY I.: Any oгthocomplemented complete modular lattice is a continuous geometry.Ann. Math., 61, 1955, 524-541. MR 0088476 |
| Reference:
|
[17] MAEDA S.: On гelatively semi-oгthocomplemented lattices.Hiгoshima Univ. J. Sci., Ser. A, 24, 1960, 155-161. MR 0123494 |
| Reference:
|
[18] von NEUMANN J.: Continuous geometry.Princeton, 1960. Zbl 0171.28003 |
| . |
