GMV-algebras and meet-semilattices with sectionally antitone permutations

Ivan Chajda; Jan Kühr

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 3, page 275-288
  • ISSN: 0232-0525

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Chajda, Ivan, and Kühr, Jan. "GMV-algebras and meet-semilattices with sectionally antitone permutations." Mathematica Slovaca 56.3 (2006): 275-288. <http://eudml.org/doc/32084>.

@article{Chajda2006,
author = {Chajda, Ivan, Kühr, Jan},
journal = {Mathematica Slovaca},
keywords = {semilattice; antitone permutation; GMV-algebra},
language = {eng},
number = {3},
pages = {275-288},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {GMV-algebras and meet-semilattices with sectionally antitone permutations},
url = {http://eudml.org/doc/32084},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Chajda, Ivan
AU - Kühr, Jan
TI - GMV-algebras and meet-semilattices with sectionally antitone permutations
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 3
SP - 275
EP - 288
LA - eng
KW - semilattice; antitone permutation; GMV-algebra
UR - http://eudml.org/doc/32084
ER -

References

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  1. CHAJDA I.-EIGENTHALER G.-LANGER H., Congruence Classes in Universal Algebra, Heldermann Verlag, Lemgo, 2003. Zbl1014.08001MR1985832
  2. CHAJDA I., Lattices and semilattices having an antitone involution in every upper interval, Comment. Math. Univ. Carolin. 44 (2003), 577-585. Zbl1101.06003MR2062874
  3. CHAJDA I.-HALAŠ R.-KÜHR J., Distributive lattices with sectionally antitone involutions, Acta Sci. Math. (Szeged) 71 (2005), 19-33. Zbl1099.06006MR2160352
  4. 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
  5. DVUREČENSKIJ A., Pseudo MV-algebras are intervals in t-groups, J. Aust. Math. Soc. 72 (2002), 427-445. MR1902211
  6. DVUREČENSKIJ A., On pseudo MV-algebras, Soft Comput. 5 (2001), 347-354. Zbl1081.06010
  7. GEORGESCU G.-IORGULESCU A., Pseudo MV-algebras, Mult.-Valued Log. 6 (2001), 95-135. Zbl1014.06008MR1817439
  8. MUNDICI D., Interpretation of AF C* -algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-63. (1986) MR0819173
  9. RACHŮNEK J., A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273. Zbl1012.06012MR1905434
  10. RACHŮNEK J., Prime spectra of non-commutative generalizations of MV-algebras, Algebra Universalis 48 (2002), 151-169. Zbl1058.06015MR1929902

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