Finite-valued dually residuated lattice-ordered monoids

Jan Kühr

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 4, page 397-408
  • ISSN: 0232-0525

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Kühr, Jan. "Finite-valued dually residuated lattice-ordered monoids." Mathematica Slovaca 56.4 (2006): 397-408. <http://eudml.org/doc/32422>.

@article{Kühr2006,
author = {Kühr, Jan},
journal = {Mathematica Slovaca},
keywords = {-monoid; ideal; prime ideal; value; finite-valued -monoid},
language = {eng},
number = {4},
pages = {397-408},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Finite-valued dually residuated lattice-ordered monoids},
url = {http://eudml.org/doc/32422},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Kühr, Jan
TI - Finite-valued dually residuated lattice-ordered monoids
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 4
SP - 397
EP - 408
LA - eng
KW - -monoid; ideal; prime ideal; value; finite-valued -monoid
UR - http://eudml.org/doc/32422
ER -

References

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  5. DI NOLA A.-GEORGESCU C.-IORGULESCU A., Pseudo BL-algebras: Part II, Mult.-Valued Log. 8 (2002), 717-750. MR1948854
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  8. GLASS A. M. W., Partially Ordered Groups, World Scientific, Singapore-New Jersey-London-Hong Kong, 1999. (1999) Zbl0933.06010MR1791008
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  10. KOVÁŘ T., A General Theory of Dually Residuated Lattice Ordered Monoids, Ph.D. Thesis, Palacky University, Olomouc, 1996. (1996) 
  11. KÜHR J., Ideals of noncommutative DRt-monoids, Czechoslovak Math. J. 55 (2005), 97-111. MR2121658
  12. KÜHR J., Prime ideals and polars in D R -monoids and pseudo B L -algebras, Math. Slovaca 53 (2003), 233-246. MR2025020
  13. RACHŮNEK J., M V -algebras are categorically equivalent to a class of D R 1 ( i ) -semi-groups, Math. Bohem. 123 (1998), 437-441. (1998) MR1667115
  14. RACHŮNEK J., A duality between algebras of basic logic and bounded representable D R -monoids, Math. Bohem. 126 (2001), 561-569. MR1970259
  15. RACHŮNEK J., A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273. Zbl1012.06012MR1905434
  16. RACHŮNEK J., Radicals in non-commutative generalizations of MV -algebras, Math. Slovaca 52 (2002), 135-144. Zbl1008.06011MR1935113
  17. SNODGRASS J. T.-TSINAKIS C., Finite-valued algebraic lattices, Algebra Universalis 30 (1993), 311-318. (1993) Zbl0806.06011MR1225870
  18. SNODGRASS J. T.-TSINAKIS C., The finite basis theorem for relatively normal lattices, Algebra Universalis 33 (1995), 40-67. (1995) Zbl0819.06009MR1303631
  19. SWAMY K. L. N., Dually residuated lattice ordered semigroups, Math. Ann. 159 (1965), 105-114. (1965) Zbl0138.02104MR0183797

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