Lex-ideals of DR ℓ -monoids and GMV-algebras

Dana Šalounová

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 4, page 321-330
  • ISSN: 0232-0525

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Šalounová, Dana. "Lex-ideals of DR$\ell $-monoids and GMV-algebras." Mathematica Slovaca 53.4 (2003): 321-330. <http://eudml.org/doc/31677>.

@article{Šalounová2003,
author = {Šalounová, Dana},
journal = {Mathematica Slovaca},
keywords = {dually residuated -monoid; generalized MV-algebra; lex-extension; lex-ideal},
language = {eng},
number = {4},
pages = {321-330},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Lex-ideals of DR$\ell $-monoids and GMV-algebras},
url = {http://eudml.org/doc/31677},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Šalounová, Dana
TI - Lex-ideals of DR$\ell $-monoids and GMV-algebras
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 4
SP - 321
EP - 330
LA - eng
KW - dually residuated -monoid; generalized MV-algebra; lex-extension; lex-ideal
UR - http://eudml.org/doc/31677
ER -

References

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  1. BIGARD A.-KEIMEL K.-WOLFENSTEIN S., Groupes et anneaux réticulés, Springer-Verlag, Berlin-Heidelberg-New York, 1977. (1977) Zbl0384.06022MR0552653
  2. CHANG C. C., Algebraic analysis of many valued logic, Trans. Amer. Math. Soc. 88 (1958), 467-490. (1958) MR0094302
  3. DVUREČENSKIJ A., Pseudo MV-algebras are intervals in i-groups, J. Austral. Math. Soc. 70 (2002), 427-445. MR1902211
  4. GEORGESCU G.-IORGULESCU A., Pseudo-MV algebras: A non-commutative extension of MV-algebras, In: Proc. Fourth Inter. Symp. Econ. Inform., May 6-9, INFOREC Printing House, Bucharest, 1999, pp. 961-968. (1999) 
  5. GEORGESCU G.-IORGULESCU A., Pseudo MV-algebras, Mult.-Valued Log. 6 (2001), 95-135. Zbl1014.06008MR1817439
  6. HORT D.-RACHŮNEK J., Lex ideals of generalized MV-algebras, In: Combinatorics, Computability and Logic, Proc. DMTCS'01 (C S. Calude, M. J. Dinneen, S. Sburlan, eds.), Springer-Verlag, London, 2001, pp. 125-136. Zbl0983.06015MR1934826
  7. KOVÁŘ T., A General Theory of Dually Residuated Lattice Ordered Monoids, Ph.D. Thesis, Palacky Univ., Olomouc, 1996. (1996) 
  8. KÜHR J., Ideals of noncommutative DRl-monoids, Czechoslovak Math. J. (Submitted). MR2121658
  9. KÜHR J., Prime ideals and polars in DRl-monoids, (Submitted). 
  10. MUNDICI D., Interpretation of AF C*-algebras in sentential calculus, J. Funct. Anal. 65 (1986), 15-63. (1986) MR0819173
  11. RACHŮNEK J., A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273. Zbl1012.06012MR1905434
  12. RACHŮNEK J., Prime spectra of non-commutative generalizations of MV-algebras, Algebra Universalis 48 (2002), 151-169. Zbl1058.06015MR1929902
  13. SWAMY K. L. N., Dually residuated lattice ordered semigroups I, Math. Ann. 159 (1965), 105-114. (1965) MR0183797

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