@article{AUPO_2001_40_1_a17,
author = {Rach\r{u}nek, Ji\v{r}{\'\i}},
title = {Connections between ideals of non-commutative generalizations of $MV$-algebras and ideals of their underlying lattices},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {195--200},
year = {2001},
volume = {40},
number = {1},
mrnumber = {1904695},
zbl = {1040.06005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2001_40_1_a17/}
}
TY - JOUR AU - Rachůnek, Jiří TI - Connections between ideals of non-commutative generalizations of $MV$-algebras and ideals of their underlying lattices JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 2001 SP - 195 EP - 200 VL - 40 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPO_2001_40_1_a17/ LA - en ID - AUPO_2001_40_1_a17 ER -
%0 Journal Article %A Rachůnek, Jiří %T Connections between ideals of non-commutative generalizations of $MV$-algebras and ideals of their underlying lattices %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2001 %P 195-200 %V 40 %N 1 %U http://geodesic.mathdoc.fr/item/AUPO_2001_40_1_a17/ %G en %F AUPO_2001_40_1_a17
Rachůnek, Jiří. Connections between ideals of non-commutative generalizations of $MV$-algebras and ideals of their underlying lattices. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 40 (2001) no. 1, pp. 195-200. http://geodesic.mathdoc.fr/item/AUPO_2001_40_1_a17/
[1] Darnel M. R.: Theory of Lattice-Ordered Groups. Marcel Dekker, Inc., New York-Basel-Hong Kong, 1995. | MR | Zbl
[2] Chang C. C.: Algebraic analysis of many valued logic. Trans. Amer. Math. Soc. 88, 467-490. | MR
[3] Cignoli R. L. O., D’Ottaviano I. M. L., Mundici D.: Algebraic Foundations of Many-valued Reasoning. Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. | MR | Zbl
[4] Dvurečenskij A.: Pseudo MV-algebras are intervals in l-groups. J. Austral. Math. Soc. (Ser. A) (to appear). | MR
[5] Dvurečenskij A., Pulmannová S.: New Trends in Quantum Structures. Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. | MR
[6] Georgescu G., Iorgulescu A.: Pseudo-MV algebras: A non-commutative extension of MV-algebras. In.: Proc. Fourth Inter. Symp. Econ. Inform., May 6-9, 1999, INFOREC Printing House, Bucharest, 1999, 961-968.
[7] Georgescu G., Iorgulescu A.: Pseudo-MV algebras. Multiple Valued Logic 6 (2001), 95-135. | MR | Zbl
[8] Rachůnek J.: A non-commutative generalization of MV-algebras. Czechoslovak Math. J. (to appear). | MR | Zbl
[9] Rachůnek J.: Prime spectra of non-commutative generalizations of MV-algebras. (submitted). | Zbl