Tolerance modular varieties of semigroups

Bedřich Pondělíček

Czechoslovak Mathematical Journal (1990)

  • Volume: 40, Issue: 3, page 441-452
  • ISSN: 0011-4642

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Pondělíček, Bedřich. "Tolerance modular varieties of semigroups." Czechoslovak Mathematical Journal 40.3 (1990): 441-452. <http://eudml.org/doc/13865>.

@article{Pondělíček1990,
author = {Pondělíček, Bedřich},
journal = {Czechoslovak Mathematical Journal},
keywords = {varieties of semigroups; tolerance trivial; transferable tolerances; transferable congruences; congruence permutable; congruence modular; tolerance modular},
language = {eng},
number = {3},
pages = {441-452},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Tolerance modular varieties of semigroups},
url = {http://eudml.org/doc/13865},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Pondělíček, Bedřich
TI - Tolerance modular varieties of semigroups
JO - Czechoslovak Mathematical Journal
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 3
SP - 441
EP - 452
LA - eng
KW - varieties of semigroups; tolerance trivial; transferable tolerances; transferable congruences; congruence permutable; congruence modular; tolerance modular
UR - http://eudml.org/doc/13865
ER -

References

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  1. Pondělíček B., Tolerance distributive and tolerance modular varieties of commutative semigroups, Czech. Math. J. 36 (1986), 485-488. (1986) Zbl0614.20043MR0847775
  2. Chajda I., Lattices of compatible relations, Arch. Math. (Brno) 13 (1977), 89 - 96. (1977) Zbl0372.08002MR0463081
  3. Chajda I., Zelinka B., Lattices of tolerances, . Čas. pěst. mat. 102 (1977), 10 - 24. (1977) Zbl0354.08011MR0450152
  4. Clifford A. H., Preston G. B., The algebraic theory of semigroups, Vol. I. Am. Math. Soc., 1961. (1961) Zbl0111.03403MR0132791
  5. Petrich M., Introduction to Semigroups, Merill Publishing Company, 1973. (1973) Zbl0321.20037MR0393206
  6. Dwars M., Strecker R., On homomorphic images of normal complexes in varieties of semigroups, Acta Sci. Math., 49 (1985), 89-91. (1985) Zbl0599.20094MR0839927
  7. Chajda I., Recent results and trends in tolerances on algebras and varieties, Finite Algebra and Multiple Valued Logic (Proc. Conf. Szeged, 1979), Colloq. Math. Soc. J. Bolyai, vol. 28, North-Holland, Amsterdam-New York-Oxford, 1981, 69-95. (1979) Zbl0484.08002MR0648608
  8. Chajda I., Tolerance trivial algebras and varieties, Acta Sci. Math. 46 (1983), 35 - 40. (1983) Zbl0534.08001MR0739020
  9. Pondělíček B., On tolerances on periodic semigroups, Czech. Math. J. 28 (1978), 647-649. (1978) Zbl0399.20053MR0498924
  10. Pondělíček B., Principal tolerance trivial commutative semigroups, Acta Sci. Math., 52 (1988),29-33. (1988) Zbl0651.08002MR0957785
  11. Chajda I., Transferable tolerances and weakly tolerance regular lattices, 43. Lectures in Universal Algebra (Proc. Conf. Szeged, 1983), Colloq. Math. Soc. J. Bolyai, 27-40. (1983) Zbl0595.08003MR0860253
  12. Chajda I., Transferable principal congruences and regular algebras, Math. Slovaca 34 (1984), 97-102. (1984) Zbl0601.08004MR0735940
  13. Chajda I., 10.1007/BF02483883, Algebra Universalis 72 (1981), 247-255. (1981) Zbl0469.08003MR0608668DOI10.1007/BF02483883
  14. Pondělíček B., Note on the congruence lattice of a commutative separative semigroup, Čas. pěst. mat. 113 (1988), 74-79. (1988) Zbl0639.20043MR0930808
  15. Hamilton H., Modularity and distributivity of the congruence lattice of a commutative separative semigroup, Math. Japonica 27 (1982), 581 - 589. (1982) Zbl0492.20042MR0675554
  16. Birkhoff G., On the structure of abstract algebras, Proc. Cambridge Phil. Soc. 31 (1935), 433-454. (1935) Zbl0013.00105

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