| Title:
|
Ring-like structures corresponding to generalized orthomodular lattices (English) |
| Author:
|
Chajda, Ivan |
| Author:
|
Länger, Helmut |
| Author:
|
Mączyński, Maciej |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
54 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
143-150 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06C15 |
| MSC:
|
06E20 |
| MSC:
|
08A30 |
| idZBL:
|
Zbl 1068.06008 |
| idMR:
|
MR2074211 |
| . |
| Date available:
|
2009-09-25T14:19:17Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136900 |
| . |
| Reference:
|
[1] BERAN L.: Orthomodular Lattices.Algebraic Approach, Academia/Reidel, Prague/Dordrecht, 1984. MR 0785005 |
| Reference:
|
[2] CHAJDA I.: Pseudosemirings induced by ortholattices.Czechoslovak Math. J. 46 (1996), 405-411. Zbl 0879.06003, MR 1408295 |
| Reference:
|
[3] CHAJDA I.-EIGENTHALER G.: A note on orthopseudorings and Boolean quasirings.Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 207 (1998), 83-94. Zbl 1040.06003, MR 1749914 |
| Reference:
|
[4] CHAJDA I.-LÄNGER H.: Ring-like operations in pseudocomplemented semilattices.Discuss. Math. Gen. Algebra Appl. 20 (2000), 87-95. Zbl 0968.06004, MR 1782088 |
| Reference:
|
[5] DILWORTH R. P.: The structure of relatively complemented lattices.Ann. of Math. (2) 51 (1950), 348-359. Zbl 0036.01802, MR 0033795 |
| Reference:
|
[6] DORFER G.: Some properties of congruence relations on orthomodular lattices.Discuss. Math. Gen. Algebra Appl. 21 (2001), 57-66. Zbl 1011.06011, MR 1868617 |
| Reference:
|
[7] DORNINGER D.-LÄNGER H.-MACZYNSKI M.: The logic induced by a system of homomorphisms and its various algebraic characterizations.Demonstratio Math. 30 (1997), 215-232. Zbl 0879.06005, MR 1446613 |
| Reference:
|
[8] DORNINGER D.-LÄNGER H.-MACZYNSKI M.: On ring-like structures occurring in axiomatic quantum mechanics.Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 206 (1997), 279-289. MR 1632939 |
| Reference:
|
[9] DORNINGER D.-LÄNGER H.-MACZYNSKI M.: On ring-like structures induced by Mackey's probability function.Rep. Math. Phys. 43 (1999), 499-515. Zbl 1056.81004, MR 1713402 |
| Reference:
|
[10] DORNINGER D.-LÄNGER H.-MACZYNSKI M.: Lattice properties of ring-like quantum logics.Internat. J. Theoret. Phys. 39 (2000), 1015-1026. Zbl 0967.03055, MR 1779170 |
| Reference:
|
[11] DORNINGER D.-LÄNGER H.-M4CZYNSKI M.: Concepts of measures on ring-like quantum logics.Rep. Math. Phys. 47 (2001), 167-176. Zbl 0980.81009, MR 1836328 |
| Reference:
|
[12] DORNINGER D.-LÄNGER H.-MACZYNSKI M.: Ring-like structures with unique symmetric difference related to quantum logic.Discuss. Math. Gen. Algebra Appl. 21 (2001), 239-253. Zbl 1014.81003, MR 1894319 |
| Reference:
|
[13] JANOWITZ M. F.: A note on generalized orthomodular lattices.J. Natur. Sci. Math. 8 (1968), 89-94. Zbl 0169.02104, MR 0231762 |
| Reference:
|
[14] KALMBACH G.: Orthomodular Lattices.Academic Press, London, 1983. Zbl 0528.06012, MR 0716496 |
| Reference:
|
[15] LÄNGER H.: Generalizations of the correspondence between Boolean algebras and Boolean rings to orthomodular lattices.Tatra Mt. Math. Publ. 15 (1998), 97-105. Zbl 0939.03075, MR 1655082 |
| Reference:
|
[16] PTÁK P.-PULMANNOVÁ S.: Orthomodular Structures as Quantum Logics.Kluwer Acad. Publ., Dordrecht, 1991. Zbl 0743.03039, MR 1176314 |
| . |
