| Title:
|
The Brooks-Jewett theorem for $k$-triangular functions on difference posets and orthoalgebras (English) |
| Author:
|
Habil, Eissa D. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
47 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
417-428 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06C15 |
| MSC:
|
28A60 |
| MSC:
|
28B05 |
| idZBL:
|
Zbl 0961.28003 |
| idMR:
|
MR1796954 |
| . |
| Date available:
|
2009-09-25T11:24:23Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128842 |
| . |
| Reference:
|
[1] BIRKHOFF G., von NEUMANN J.: The logic of quantum mechanics.Ann. of Math. 37 (1936), 823-843. Zbl 0015.14603, MR 1503312 |
| Reference:
|
[2] D'ANDREA A. B., De LUCIA P.: The Brooks-Jewett theorem on an orthomodular lattice.J. Math. Anal. Appl. 154 (1991), 507-522. Zbl 0727.28008, MR 1088647 |
| Reference:
|
[3] DVUREČENSKIJ A., RIEČAN B.: Decomposition of measures on orthoalgebras and difference posets.Internat. J. Theoret. Phys. 33 (1994), 1387-1402. MR 1295164 |
| Reference:
|
[4] FOULIS D. J., GREECHIE R. J., RÜTTIMANN G. T.: Filters and supports.Internat. J. Theoret. Phys. 31 (1992), 789-807. Zbl 0764.03026, MR 1162623 |
| Reference:
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[5] FOULIS D. J., BENNETT M. K.: Effect algebras and unsharp quantum logics.Found. Phys. 24 (1994), 1325-1346. Zbl 1213.06004, MR 1304942 |
| Reference:
|
[6] FRENICHE F. J.: The Vitali-Hahn-Saks theorem for Boolean algebras with the subsequential interpolation property.Proc. Amer. Math. Soc. 92 (1984), 362-366. Zbl 0529.28004, MR 0759653 |
| Reference:
|
[7] GUARIGLIA E.: K-triangular functions on an orthomodular lattice and the Brooks-Jewett theorem.Rad. Mat. 6 (1990), 241-251. MR 1146880 |
| Reference:
|
[8] GUDDER S. P.: Quantum Probability.Academic Press, Boston, 1988. Zbl 0653.60004, MR 0958911 |
| Reference:
|
[9] HABIL E. D.: Brooks-Jewett and Nikodym convergence theorems for orthoalgebras that have the weak subsequential interpolation property.Intern. J. Theoret. Phys. 34 (1995), 465-491. Zbl 0822.60004, MR 1330347 |
| Reference:
|
[10] HABIL E. D.: Morphisms and pasting of orthoalgebras.Math. Slovaca 47 (1997), 405-416. Zbl 1057.81005, MR 1796953 |
| Reference:
|
[11] HABIL E. D.: Orthosummable orthoalgebras.Intern. J. Theoret. Phys. 33 (1994), 1957-1984. Zbl 0818.03030, MR 1306793 |
| Reference:
|
[12] KALMBACH G.: Orthomodular Lattices.Academic Press, London-New York, 1983. Zbl 0528.06012, MR 0716496 |
| Reference:
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[13] KOPKA F.-CHOVANEC F.: D-posets.Math. Slovaca 44 (1994), 21-34. Zbl 0789.03048, MR 1290269 |
| Reference:
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[14] NAVARA M.-PTÁK P.: Difference posets and orthoalgebras.BUSEFAL 69 (1997),64-69. |
| Reference:
|
[15] PAGE W.: Topological Uniform Structures.Wiley, New York, 1978. Zbl 0397.46001, MR 0515583 |
| Reference:
|
[16] PAP E.: The Vitali-Hahn-Saks theorems for k-triangular set functions.Atti. Sem. Mat. Fis. Univ. Modena 25 (1987), 21-32. Zbl 0626.28001, MR 0922985 |
| . |
