Operators on G M V -algebras

Filip Švrček

Mathematica Bohemica (2004)

  • Volume: 129, Issue: 4, page 337-347
  • ISSN: 0862-7959

Abstract

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Closure G M V -algebras are introduced as a commutative generalization of closure M V -algebras, which were studied as a natural generalization of topological Boolean algebras.

How to cite

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Švrček, Filip. "Operators on $GMV$-algebras." Mathematica Bohemica 129.4 (2004): 337-347. <http://eudml.org/doc/249404>.

@article{Švrček2004,
abstract = {Closure $GMV$-algebras are introduced as a commutative generalization of closure $MV$-algebras, which were studied as a natural generalization of topological Boolean algebras.},
author = {Švrček, Filip},
journal = {Mathematica Bohemica},
keywords = {$MV$-algebra; DRl-monoid; MV-algebra; DRl-monoid},
language = {eng},
number = {4},
pages = {337-347},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Operators on $GMV$-algebras},
url = {http://eudml.org/doc/249404},
volume = {129},
year = {2004},
}

TY - JOUR
AU - Švrček, Filip
TI - Operators on $GMV$-algebras
JO - Mathematica Bohemica
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 129
IS - 4
SP - 337
EP - 347
AB - Closure $GMV$-algebras are introduced as a commutative generalization of closure $MV$-algebras, which were studied as a natural generalization of topological Boolean algebras.
LA - eng
KW - $MV$-algebra; DRl-monoid; MV-algebra; DRl-monoid
UR - http://eudml.org/doc/249404
ER -

References

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  1. 10.1090/S0002-9947-1958-0094302-9, Trans. Amer. Math. Soc. 88 (1958), 467–490. (1958) Zbl0084.00704MR0094302DOI10.1090/S0002-9947-1958-0094302-9
  2. A new proof of the completeness of the Łukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959), 74–80. (1959) Zbl0093.01104MR0122718
  3. Algebraic Foundations of Many -Valued Reasoning, Kluwer Acad. Publ., Dordrecht, 2000. (2000) MR1786097
  4. New Trends in Quantum Structures, Kluwer Acad. Publ., Dordrecht, 2000. (2000) MR1861369
  5. Pseudo- M V -algebras, Multiple Valued Logic 6 (2001), 95–135. (2001) MR1817439
  6. A General Theory of Dually Residuated Lattice Ordered Monoids, Ph.D. Thesis Palacký University, Olomouc, 1996. (1996) 
  7. 10.1023/A:1022801907138, Czechoslovak Math. J. 48 (1998), 365–372. (1998) MR1624268DOI10.1023/A:1022801907138
  8. M V -algebras are categorically equivalent to a class of DR l 1 ( i ) -semigroups, Math. Bohem. 123 (1998), 437–441. (1998) MR1667115
  9. 10.1023/A:1021766309509, Czechoslovak Math. J. 52 (2002), 255–273. (2002) Zbl1012.06012MR1905434DOI10.1023/A:1021766309509
  10. 10.1007/PL00012447, Algebra Univers. 48 (2002), 151–169. (2002) Zbl1058.06015MR1929902DOI10.1007/PL00012447
  11. M V -algebras with additive closure operators, Acta Univ. Palacki., Mathematica 39 (2000), 183–189. (2000) MR1826361
  12. The Mathematics of Metamathematics, Panstw. Wyd. Nauk., Warszawa, 1963. (1963) MR0163850
  13. 10.1007/BF01360284, Math. Ann. 159 (1965), 105–114. (1965) Zbl0138.02104MR0183797DOI10.1007/BF01360284

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