Connections between ideals of non-commutative generalizations of $MV$-algebras and ideals of their underlying lattices
Rachůnek, Jiří
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 40 (2001), p. 195-200 / Harvested from Czech Digital Mathematics Library
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Publié le : 2001-01-01
Classification:  03G20,  06B10,  06D35,  06F15 
@article{120431,
     author = {Ji\v r\'\i\ Rach\r unek},
     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},
     volume = {40},
     year = {2001},
     pages = {195-200},
     zbl = {1040.06005},
     mrnumber = {1904695},
     language = {en},
     url = {http://dml.mathdoc.fr/item/120431}
}

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) pp. 195-200. http://gdmltest.u-ga.fr/item/120431/

Darnel M. R. Theory of Lattice-Ordered Groups, Marcel Dekker, Inc., New York-Basel-Hong Kong, 1995. (1995) | MR 1304052 | Zbl 0810.06016

Chang C. C. Algebraic analysis of many valued logic, Trans. Amer. Math. Soc. 88, 467-490. | MR 0094302

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 1786097 | Zbl 0937.06009

Dvurečenskij A. Pseudo MV-algebras are intervals in l-groups, J. Austral. Math. Soc. (Ser. A) (to appear). | MR 1902211

Dvurečenskij A.; Pulmannová S. New Trends in Quantum Structures, Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. | MR 1861369

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. (1999)

Georgescu G.; Iorgulescu A. Pseudo-MV algebras, Multiple Valued Logic 6 (2001), 95-135. | MR 1817439 | Zbl 1014.06008

Rachůnek J. A non-commutative generalization of MV-algebras, Czechoslovak Math. J. (to appear). | MR 1905434 | Zbl 1012.06012

Rachůnek J. Prime spectra of non-commutative generalizations of MV-algebras, (submitted). | Zbl 1058.06015