Modularity and distributivity of tolerance lattices of commutative inverse semigroups

Bedřich Pondělíček

Czechoslovak Mathematical Journal (1985)

  • Volume: 35, Issue: 1, page 146-157
  • ISSN: 0011-4642

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Pondělíček, Bedřich. "Modularity and distributivity of tolerance lattices of commutative inverse semigroups." Czechoslovak Mathematical Journal 35.1 (1985): 146-157. <http://eudml.org/doc/13499>.

@article{Pondělíček1985,
author = {Pondělíček, Bedřich},
journal = {Czechoslovak Mathematical Journal},
keywords = {commutative inverse semigroup; modular or distributive lattice of tolerances; idempotents; congruence lattices; Clifford semigroups; semilattice},
language = {eng},
number = {1},
pages = {146-157},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Modularity and distributivity of tolerance lattices of commutative inverse semigroups},
url = {http://eudml.org/doc/13499},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Pondělíček, Bedřich
TI - Modularity and distributivity of tolerance lattices of commutative inverse semigroups
JO - Czechoslovak Mathematical Journal
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 1
SP - 146
EP - 157
LA - eng
KW - commutative inverse semigroup; modular or distributive lattice of tolerances; idempotents; congruence lattices; Clifford semigroups; semilattice
UR - http://eudml.org/doc/13499
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 (1911), 10-24.� � � � � �' (1911) MR0450152
  3. Pondělíček В., Atomicity of tolerance lattices of commutative semigroups, Czech. Math. J. 33 (108) (1983), 485-498. (1983) MR0718931
  4. 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
  5. Zelinka В., Tolerance in algebraic structures II, Czech. Math. J. 25 (100) (1975), 175-178. (1975) Zbl0316.08001MR0457323
  6. Ore O., 10.1215/S0012-7094-38-00419-3, Duke Math. J. 4 (1938), 247-269. (1938) MR1546048DOI10.1215/S0012-7094-38-00419-3
  7. Nieminen J., Tolerance relations on join-semilattices, Glasnik Mat. (Zagreb), 12 (1977), 243-246. (1977) Zbl0376.06011MR0551488
  8. Dean R. A., Oehmke R. H., 10.2140/pjm.1964.14.1187, Pacific J. Math. 14 (1964), 1187-1209. (1964) MR0172939DOI10.2140/pjm.1964.14.1187
  9. Papert D., 10.1112/jlms/s1-39.1.723, J. London Math. Soc. 39 (1964), 723 - 729. (1964) MR0166123DOI10.1112/jlms/s1-39.1.723
  10. Mitsch H., 10.1007/BF02572819, Semigroup Forum 26 (1983), 1 - 63. (1983) Zbl0513.20047MR0685115DOI10.1007/BF02572819

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