Ring-like structures corresponding to generalized orthomodular lattices
Mathematica slovaca, Tome 54 (2004) no. 2, pp. 143-150
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Classification : 06C15, 06E20, 08A30
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}
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Chajda, Ivan; Länger, Helmut; Mączyński, Maciej. Ring-like structures corresponding to generalized orthomodular lattices. Mathematica slovaca, Tome 54 (2004) no. 2, pp. 143-150. http://geodesic.mathdoc.fr/item/MASLO_2004_54_2_a3/

[1] BERAN L.: Orthomodular Lattices. Algebraic Approach, Academia/Reidel, Prague/Dordrecht, 1984. | MR

[2] CHAJDA I.: Pseudosemirings induced by ortholattices. Czechoslovak Math. J. 46 (1996), 405-411. | MR | Zbl

[3] CHAJDA I.-EIGENTHALER G.: A note on orthopseudorings and Boolean quasirings. Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 207 (1998), 83-94. | MR | Zbl

[4] CHAJDA I.-LÄNGER H.: Ring-like operations in pseudocomplemented semilattices. Discuss. Math. Gen. Algebra Appl. 20 (2000), 87-95. | MR | Zbl

[5] DILWORTH R. P.: The structure of relatively complemented lattices. Ann. of Math. (2) 51 (1950), 348-359. | MR | Zbl

[6] DORFER G.: Some properties of congruence relations on orthomodular lattices. Discuss. Math. Gen. Algebra Appl. 21 (2001), 57-66. | MR | Zbl

[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. | MR | Zbl

[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

[9] DORNINGER D.-LÄNGER H.-MACZYNSKI M.: On ring-like structures induced by Mackey's probability function. Rep. Math. Phys. 43 (1999), 499-515. | MR | Zbl

[10] DORNINGER D.-LÄNGER H.-MACZYNSKI M.: Lattice properties of ring-like quantum logics. Internat. J. Theoret. Phys. 39 (2000), 1015-1026. | MR | Zbl

[11] DORNINGER D.-LÄNGER H.-M4CZYNSKI M.: Concepts of measures on ring-like quantum logics. Rep. Math. Phys. 47 (2001), 167-176. | MR | Zbl

[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. | MR | Zbl

[13] JANOWITZ M. F.: A note on generalized orthomodular lattices. J. Natur. Sci. Math. 8 (1968), 89-94. | MR | Zbl

[14] KALMBACH G.: Orthomodular Lattices. Academic Press, London, 1983. | MR | Zbl

[15] LÄNGER H.: Generalizations of the correspondence between Boolean algebras and Boolean rings to orthomodular lattices. Tatra Mt. Math. Publ. 15 (1998), 97-105. | MR | Zbl

[16] PTÁK P.-PULMANNOVÁ S.: Orthomodular Structures as Quantum Logics. Kluwer Acad. Publ., Dordrecht, 1991. | MR | Zbl