Modularity and distributivity of tolerance lattices of commutative separative semigroups

Bedřich Pondělíček

Czechoslovak Mathematical Journal (1985)

  • Volume: 35, Issue: 2, page 333-337
  • ISSN: 0011-4642

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Pondělíček, Bedřich. "Modularity and distributivity of tolerance lattices of commutative separative semigroups." Czechoslovak Mathematical Journal 35.2 (1985): 333-337. <http://eudml.org/doc/13516>.

@article{Pondělíček1985,
author = {Pondělíček, Bedřich},
journal = {Czechoslovak Mathematical Journal},
keywords = {commutative regular semigroups; tolerance lattice; modular tolerance lattice},
language = {eng},
number = {2},
pages = {333-337},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Modularity and distributivity of tolerance lattices of commutative separative semigroups},
url = {http://eudml.org/doc/13516},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Pondělíček, Bedřich
TI - Modularity and distributivity of tolerance lattices of commutative separative semigroups
JO - Czechoslovak Mathematical Journal
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 2
SP - 333
EP - 337
LA - eng
KW - commutative regular semigroups; tolerance lattice; modular tolerance lattice
UR - http://eudml.org/doc/13516
ER -

References

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  1. Chajda I., Lattices of compatible relations, Arch. Math. (Brno) 13 (1977), 89-96. (1977) Zbl0372.08002MR0463081
  2. Chajda I., Zelinka В., Lattices of tolerances, Čas. pěst. mat. 102 (1977), 10-24. (1977) Zbl0354.08011MR0450152
  3. Clifford A. H., Preston G. В., The algebraic theory of semigroups, Amer. Math. Soc., Providence, R. I. Vol. I (1961); Vol. II (1967). (1961) Zbl0111.03403
  4. Pondělíček В., Modularity and distributivity of tolerances lattices of commutative inverse semigroups, Czech. Math. J. (to appear). 
  5. Pondělíček В., Atomicity of tolerance lattices of commutative semigroups, Czech. Math. J. 33 (108) 1983,485-498. (1983) MR0718931
  6. Ore O., 10.1215/S0012-7094-38-00419-3, Duke Math. J. 4 (1938), 247-269. (1938) Zbl0020.34801MR1546048DOI10.1215/S0012-7094-38-00419-3
  7. Zelinka В., Tolerance in algebraic structures II, Czech. Math. J. 25 (100) 1975, 175-178. (1975) Zbl0316.08001MR0457323
  8. Hamilton H., Modularity and distributivity of the congruence lattice of a commutative separative semigroup, Math. Japonica 27, No. 5 (1982), 581 - 589. (1982) Zbl0492.20042MR0675554

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