Connections between ideals of non-commutative generalizations of M V -algebras and ideals of their underlying lattices

Jiří Rachůnek

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2001)

  • Volume: 40, Issue: 1, page 195-200
  • ISSN: 0231-9721

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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 40.1 (2001): 195-200. <http://eudml.org/doc/23710>.

@article{Rachůnek2001,
author = {Rachůnek, Jiří},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {noncommutative generalization of MV-algebras; ideals},
language = {eng},
number = {1},
pages = {195-200},
publisher = {Palacký University Olomouc},
title = {Connections between ideals of non-commutative generalizations of $MV$-algebras and ideals of their underlying lattices},
url = {http://eudml.org/doc/23710},
volume = {40},
year = {2001},
}

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
PB - Palacký University Olomouc
VL - 40
IS - 1
SP - 195
EP - 200
LA - eng
KW - noncommutative generalization of MV-algebras; ideals
UR - http://eudml.org/doc/23710
ER -

References

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  1. Darnel M. R., Theory of Lattice-Ordered Groups, Marcel Dekker, Inc., New York-Basel-Hong Kong, 1995. (1995) Zbl0810.06016MR1304052
  2. Chang C. C., Algebraic analysis of many valued logic, Trans. Amer. Math. Soc. 88, 467-490. MR0094302
  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. Zbl0937.06009MR1786097
  4. Dvurečenskij A., Pseudo MV-algebras are intervals in l-groups, J. Austral. Math. Soc. (Ser. A) (to appear). MR1902211
  5. Dvurečenskij A., Pulmannová S., New Trends in Quantum Structures, Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. MR1861369
  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. (1999) 
  7. Georgescu G., Iorgulescu A., Pseudo-MV algebras, Multiple Valued Logic 6 (2001), 95-135. Zbl1014.06008MR1817439
  8. Rachůnek J., A non-commutative generalization of MV-algebras, Czechoslovak Math. J. (to appear). Zbl1012.06012MR1905434
  9. Rachůnek J., Prime spectra of non-commutative generalizations of MV-algebras, (submitted). Zbl1058.06015

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