MV-algebras with additive closure operators

Jiří Rachůnek; Filip Švrček

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2000)

  • Volume: 39, Issue: 1, page 183-189
  • ISSN: 0231-9721

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Rachůnek, Jiří, and Švrček, Filip. "MV-algebras with additive closure operators." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 39.1 (2000): 183-189. <http://eudml.org/doc/23687>.

@article{Rachůnek2000,
author = {Rachůnek, Jiří, Švrček, Filip},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {additive closure operator; closure MV-algebras; topological Boolean algebras},
language = {eng},
number = {1},
pages = {183-189},
publisher = {Palacký University Olomouc},
title = {MV-algebras with additive closure operators},
url = {http://eudml.org/doc/23687},
volume = {39},
year = {2000},
}

TY - JOUR
AU - Rachůnek, Jiří
AU - Švrček, Filip
TI - MV-algebras with additive closure operators
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2000
PB - Palacký University Olomouc
VL - 39
IS - 1
SP - 183
EP - 189
LA - eng
KW - additive closure operator; closure MV-algebras; topological Boolean algebras
UR - http://eudml.org/doc/23687
ER -

References

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  1. Chang C. C., Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958), 467-490. (1958) Zbl0084.00704MR0094302
  2. Chang C. C., A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959), 74-80. (1959) Zbl0093.01104MR0122718
  3. Cignoli R. O. L., Mundici D., D’Ottaviano I. M. L., Algebraic Foundations of Many-valued Reasoning, Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. Zbl0937.06009MR1786097
  4. Rachůnek J., DRl-semigroups and MV-algebras, Czechoslovak Math. J. 48, 123 (1998), 365-372. (1998) MR1624268
  5. Rachůnek J., MV-algebras are categorically equivalent to a class of DRli-semigroups, Math. Bohemica 123 (1998), 437-441. (1998) MR1667115
  6. Rasiova H., Sikorski R., The Mathematics of Metamathematics, Panstw. Wyd. Nauk., Warszawa, 1963. (1963) MR0163850
  7. Turunen E., Mathematics Behind Fuzzy Logic, Springer Physica-Verlag, Heidelberg-New York, 1999. (1999) Zbl0940.03029MR1716958

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