Regular representations of semisimple MV-algebras by continuous real functions

Ján Jakubík

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 3, page 269-274
  • ISSN: 0232-0525

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Jakubík, Ján. "Regular representations of semisimple MV-algebras by continuous real functions." Mathematica Slovaca 51.3 (2001): 269-274. <http://eudml.org/doc/34537>.

@article{Jakubík2001,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {MV-algebra; regular representation; Dedekind completion},
language = {eng},
number = {3},
pages = {269-274},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Regular representations of semisimple MV-algebras by continuous real functions},
url = {http://eudml.org/doc/34537},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Jakubík, Ján
TI - Regular representations of semisimple MV-algebras by continuous real functions
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 3
SP - 269
EP - 274
LA - eng
KW - MV-algebra; regular representation; Dedekind completion
UR - http://eudml.org/doc/34537
ER -

References

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  1. BIRKHOFF G., Lattice Theory, (Rev. ed.). Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, New York, 1948. (1948) Zbl0033.10103MR0029876
  2. CIGNOLI R.-D'OTTAVIANO I. M. L-MUNDICI D., Algebraic Foundations of Many-Valued Reasoning, Trends in Logic. Studia Logica Library Vol. 7, Kluwer Academic Publishers, Dordrecht, 2000. MR1786097
  3. CONRAD P., Lattice Ordered Groups, Math. Res. Library, Tulane University, New Orleans, 1970. (1970) Zbl0258.06011
  4. DI NOLA A.-SESSA S., On MV-algebras of continuous functions, In: Non-classical Logics and Their Application to Fuzzy Subsets (U. Hohle, E. P. Klement, eds.), Kluwer Academic Publishers, Dordrecht, 1996, pp. 22-31. (1996) MR1345639
  5. GLUSCHANKOV D., Cyclic ordered groups and MV-algebras, Czechoslovak Math. J. 43 (1993), 249-263. (1993) MR1211747
  6. JAKUBfK J., On complete MV-algebras, Czechoslovak Math. J. 45 (1995), 473-480. (1995) MR1344513
  7. JAKUBlK J., On archimedean MV-algebras, Czechoslovak Math. J. 48 (1998), 575-582. (1998) MR1637871
  8. JAKUBIK J., Complete distributivity of lattice ordered groups and of vector lattices, Czechoslovak Math. J. (To appear). Zbl0998.06013MR1864049
  9. MUNDICI D., Interpretation of AFC* -algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-63. (1986) MR0819173
  10. SIKORSKI R., Boolean Algebras, (2nd ed.), Springer-Verlag, Berlin-Goettingen-Heidelberg-New York, 1964. (1964) Zbl0123.01303
  11. VULIKH B. Z., Introduction to the Theory of Semiordered Spaces, Gos. Izd. Fiz.-Mat. Lit., Moskva, 1961 [English translation: Introduction to the Theory of Partially Ordered Spaces, Groningen, 1967]. (Russian) (1961) 

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