On Jónsson's theorem

Diego Vaggione

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 1, page 55-58
  • ISSN: 0862-7959

Abstract

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A proof of Jonsson's theorem inspired by considering a natural topology on algebraic lattices is given.

How to cite

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Vaggione, Diego. "On Jónsson's theorem." Mathematica Bohemica 121.1 (1996): 55-58. <http://eudml.org/doc/247951>.

@article{Vaggione1996,
abstract = {A proof of Jonsson's theorem inspired by considering a natural topology on algebraic lattices is given.},
author = {Vaggione, Diego},
journal = {Mathematica Bohemica},
keywords = {Jónsson’s theorem; algebraic lattice; compact subset of an algebraic lattice; meet prime elements; Jónsson’s theorem; algebraic lattice; compact subset of an algebraic lattice},
language = {eng},
number = {1},
pages = {55-58},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Jónsson's theorem},
url = {http://eudml.org/doc/247951},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Vaggione, Diego
TI - On Jónsson's theorem
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 1
SP - 55
EP - 58
AB - A proof of Jonsson's theorem inspired by considering a natural topology on algebraic lattices is given.
LA - eng
KW - Jónsson’s theorem; algebraic lattice; compact subset of an algebraic lattice; meet prime elements; Jónsson’s theorem; algebraic lattice; compact subset of an algebraic lattice
UR - http://eudml.org/doc/247951
ER -

References

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  1. G. Birkhoff, Lattice Theory, Ameг. Math. Soc. Colloq. Publ. Vol. 25, Revised Edition, Providence, 1948. (1948) Zbl0033.10103MR0029876
  2. S. Burris, H. P. Sankappanavar, A Course in Universal Algebra, Springer-Verlag, New York, 1981. (1981) Zbl0478.08001MR0648287
  3. B. Jónsson, Algebгas whose congruence lattices are distributive, Math. Scand. 21 (1967), 110-121. (1967) MR0237402
  4. D. Pigozzi, 10.1090/S0002-9947-1988-0946222-1, Trans. Amer. Math. Soc. 310 (1988), 499-533. (1988) MR0946222DOI10.1090/S0002-9947-1988-0946222-1
  5. D. J. Vaggione, 10.1007/BF01190609, Algebra Universalis 29 (1992), 232-272. (1992) Zbl0772.08005MR1157436DOI10.1007/BF01190609
  6. D. J. Vaggione, 10.1007/BF01190703, Algebra Universalis 33 (1995), 319-354. (1995) Zbl0821.08001MR1322777DOI10.1007/BF01190703

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