Commutative semigroups whose lattice of tolerances is Boolean

Bedřich Pondělíček

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 2, page 226-230
  • ISSN: 0011-4642

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Pondělíček, Bedřich. "Commutative semigroups whose lattice of tolerances is Boolean." Czechoslovak Mathematical Journal 38.2 (1988): 226-230. <http://eudml.org/doc/13696>.

@article{Pondělíček1988,
author = {Pondělíček, Bedřich},
journal = {Czechoslovak Mathematical Journal},
keywords = {Boolean lattice; tolerances; tolerance lattice; commutative semigroups; regular semigroup; complemented lattice},
language = {eng},
number = {2},
pages = {226-230},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Commutative semigroups whose lattice of tolerances is Boolean},
url = {http://eudml.org/doc/13696},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Pondělíček, Bedřich
TI - Commutative semigroups whose lattice of tolerances is Boolean
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 2
SP - 226
EP - 230
LA - eng
KW - Boolean lattice; tolerances; tolerance lattice; commutative semigroups; regular semigroup; complemented lattice
UR - http://eudml.org/doc/13696
ER -

References

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  1. Hamilton H., Nordahl T., 10.2140/pjm.1978.77.131, Pacific J. Math. 77(1978), 131-143. (1978) Zbl0413.20044MR0507626DOI10.2140/pjm.1978.77.131
  2. Sitnikov V. M., Semigroups with a Boolean algebra of stable tolerances, Ural. Gos. Univ. Mat. Zap. 13 (1983), 146-158. (1983) Zbl0546.20058MR0750971
  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. Scott B. M., Group theory, Prentice-Hall, Engelwood Cliffs, N. J., 1973. (1973) 
  5. Pondělíček В., Tolerance distributive and tolerance boolean varieties of semigroups, Czech. Math. J. 36 (111) (1986), 617- 622. (1986) MR0863191
  6. Fountain J., Lockley P., 10.1007/BF02194656, Semigroup Forum 14 (1977), 81 - 91. (1977) Zbl0392.20041MR0437660DOI10.1007/BF02194656

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