The closure property of the lexicographic sum in the class of distributive lattices

Emil Slatinský

Archivum Mathematicum (1985)

  • Volume: 021, Issue: 2, page 105-111
  • ISSN: 0044-8753

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Slatinský, Emil. "Die Abgeschlossenheit der lexikographischen Summe in der Klasse distributiver Verbände." Archivum Mathematicum 021.2 (1985): 105-111. <http://eudml.org/doc/18159>.

@article{Slatinský1985,
author = {Slatinský, Emil},
journal = {Archivum Mathematicum},
keywords = {lexicographic sum; partially ordered sets; distributive lattice; distributive relative lattice; ordinal product},
language = {ger},
number = {2},
pages = {105-111},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Die Abgeschlossenheit der lexikographischen Summe in der Klasse distributiver Verbände},
url = {http://eudml.org/doc/18159},
volume = {021},
year = {1985},
}

TY - JOUR
AU - Slatinský, Emil
TI - Die Abgeschlossenheit der lexikographischen Summe in der Klasse distributiver Verbände
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 2
SP - 105
EP - 111
LA - ger
KW - lexicographic sum; partially ordered sets; distributive lattice; distributive relative lattice; ordinal product
UR - http://eudml.org/doc/18159
ER -

References

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  1. G. Birkhoff, Generalized arithmetic, Duke Math. J. 9 (1942), 283-302. (1942) Zbl0060.12609MR0007031
  2. G. Birkhoff, Lattice Theory, New York, 1948. (1948) Zbl0033.10103MR0029876
  3. O. Kopeček, Die arithmetischen Operationen für geordnete Mengen, Arch. Math. (Brno) 4, (1968), 157-174. (1968) Zbl0211.02803MR0269555
  4. E. Slatinský, Die arithmetische Operation der Summe, Arch. Math. (Brno) 20 (1984), 9-20. (1984) Zbl0554.06007MR0785042
  5. E. Slatinský, Die Abgeschlossenheit der lexikographischen Summe in der Klasse modularer Verbände, Arch. Math. (Brno) 20 (1984), 205-210. (1984) Zbl0576.06008MR0784873
  6. G. Szász, Einführung in die Verbandstheorie, B. G. Teubneг Veгlagsgesellschaft, Leipzig, 1962. (1962) 

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