Commutative idempotent residuated lattices

David Stanovský

Czechoslovak Mathematical Journal (2007)

  • Volume: 57, Issue: 1, page 191-200
  • ISSN: 0011-4642

Abstract

top
We investigate the variety of residuated lattices with a commutative and idempotent monoid reduct.

How to cite

top

Stanovský, David. "Commutative idempotent residuated lattices." Czechoslovak Mathematical Journal 57.1 (2007): 191-200. <http://eudml.org/doc/31124>.

@article{Stanovský2007,
abstract = {We investigate the variety of residuated lattices with a commutative and idempotent monoid reduct.},
author = {Stanovský, David},
journal = {Czechoslovak Mathematical Journal},
keywords = {residuated lattice; semilattice; finitely based variety; minimal variety; residuated lattice; semilattice; finitely based variety; minimal variety},
language = {eng},
number = {1},
pages = {191-200},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Commutative idempotent residuated lattices},
url = {http://eudml.org/doc/31124},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Stanovský, David
TI - Commutative idempotent residuated lattices
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 191
EP - 200
AB - We investigate the variety of residuated lattices with a commutative and idempotent monoid reduct.
LA - eng
KW - residuated lattice; semilattice; finitely based variety; minimal variety; residuated lattice; semilattice; finitely based variety; minimal variety
UR - http://eudml.org/doc/31124
ER -

References

top
  1. 10.1007/s00012-003-1822-4, Algebra Universalis 50 (2003), 83–106. (2003) MR2026830DOI10.1007/s00012-003-1822-4
  2. 10.1007/s00012-002-8180-5, Algebra Universalis 47 (2002), 145–151. (2002) MR1916612DOI10.1007/s00012-002-8180-5
  3. A Course in Universal Algebra. GTM  78, Springer-Verlag, New York-Heidelberg-Berlin, 1981. (1981) MR0648287
  4. 10.1142/S0218196703001511, Internat. J.  Algebra Comput. 13 (2003), 437–461. (2003) MR2022118DOI10.1142/S0218196703001511
  5. 10.1090/S0002-9947-1939-1501995-3, Trans. Amer. Math. Soc. 45 (1939), 335–354. (1939) MR1501995DOI10.1090/S0002-9947-1939-1501995-3
  6. 10.1007/s00012-004-1870-4, Algebra Universalis 52 (2004), 215–239. (2004) Zbl1082.06011MR2161651DOI10.1007/s00012-004-1870-4
  7. 10.1023/B:STUD.0000032086.42963.7c, Studia Logica 76 (2004), 227–240. (2004) Zbl1068.06007MR2072984DOI10.1023/B:STUD.0000032086.42963.7c
  8. Varieties of residuated lattices, PhD. Thesis, Vanderbilt University, 2003. (2003) MR2704503
  9. 10.1142/S0218196702001048, Internat. J.  Algebra Comput. 12 (2002), 509–524. (2002) MR1919685DOI10.1142/S0218196702001048
  10. A survey of residuated lattices, In: Ordered Algebraic Structures, J.  Martinez (ed.), Kluwer Academic Publishers, Dordrecht, 2002, pp. 19–56. (2002) MR2083033
  11. 10.7146/math.scand.a-10984, Math. Scand. 27 (1970), 24–38. (1970) Zbl0307.08001MR0274353DOI10.7146/math.scand.a-10984
  12. Algebras, Lattices, Varieties, Vol  I, Wadsworth & Brooks/Cole, Monterey, 1987. (1987) MR0883644

NotesEmbed ?

top

You must be logged in to post comments.