Keywords: Basic algebra; basic pseudoring; orthomodular lattice
@article{AUPO_2009_48_1_a2,
author = {Chajda, Ivan and Kola\v{r}{\'\i}k, Miroslav},
title = {Basic pseudorings},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {25--31},
year = {2009},
volume = {48},
number = {1},
mrnumber = {2641945},
zbl = {1203.06012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2009_48_1_a2/}
}
Chajda, Ivan; Kolařík, Miroslav. Basic pseudorings. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 25-31. http://geodesic.mathdoc.fr/item/AUPO_2009_48_1_a2/
[1] Beran, L.: Orthomodular Lattices. Reidel Publ., Dordrecht, 1985. | MR | Zbl
[2] Birkhoff, G.: Lattice Theory. Publ. AMS, Providence, 1967. | MR | Zbl
[3] Chajda, I., Halaš, R., Kühr, J.: Semilattice Structures. Heldermann Verlag, Lemgo, 2007. | MR | Zbl
[4] Chajda, I., Kolařík, M.: Independence of axiom system of basic algebras. Soft Computing 13, 1 (2009), 41–43. | Zbl
[5] Chajda, I., Länger, H.: Ring-like structures corresponding to MV-algebras via symmetrical difference. Sitzungsberichte ÖAW, Math.–Naturw. Kl. Abt. II 213 (2004), 33–41. | MR
[6] Dorfer, G., Dvurečenskij, A., Länger H.: Symmetric difference in orthomodular lattices. Math. Slovaca 46 (1996), 435–444. | MR
[7] Dorninger, D., Länger, H., Maczyński, M.: The logic induced by a system of homomorphisms and its various algebraic characterizations. Demonstratio Math. 30 (1997), 215–232. | MR
[8] Dorninger, D., Länger, H., Maczyński, M.: On ring-like structures occuring in axiomatic quantum mechanics. Sitzungsberichte ÖAW, Math.–Naturw. Kl. Abt. II 206 (1997), 279–289. | MR
[9] Dorninger, D., Länger, H., Maczyński, M.: Lattice properties of ring-like quantum logics. Intern. J. of Theor. Physics 39 (2000), 1015–1026. | MR
[10] Shang, Y.: Ring-like structures corresponding to pseudo MV-algebras. Soft Computing 13, 1 (2009), 71–76. | Zbl