The closure of the lexicographical sum in the class of modular lattices

Emil Slatinský

Archivum Mathematicum (1984)

  • Volume: 020, Issue: 4, page 205-210
  • ISSN: 0044-8753

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Slatinský, Emil. "Die Abgeschlossenheit der lexikographischen Summe in der Klasse modularer Verbände." Archivum Mathematicum 020.4 (1984): 205-210. <http://eudml.org/doc/18147>.

@article{Slatinský1984,
author = {Slatinský, Emil},
journal = {Archivum Mathematicum},
keywords = {ordered system of posets; lexicographic sum; modular lattice},
language = {ger},
number = {4},
pages = {205-210},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Die Abgeschlossenheit der lexikographischen Summe in der Klasse modularer Verbände},
url = {http://eudml.org/doc/18147},
volume = {020},
year = {1984},
}

TY - JOUR
AU - Slatinský, Emil
TI - Die Abgeschlossenheit der lexikographischen Summe in der Klasse modularer Verbände
JO - Archivum Mathematicum
PY - 1984
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 020
IS - 4
SP - 205
EP - 210
LA - ger
KW - ordered system of posets; lexicographic sum; modular lattice
UR - http://eudml.org/doc/18147
ER -

References

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  1. Szász G., Einführung in die Verbandstheorie, Leipzig, B. G. Teubner Verlagsgesellschaft 1962. (1962) MR0138567
  2. Birkhoff G., Lattice Theory, New York, rev. ed. 1948. (1948) Zbl0033.10103MR0029876
  3. Birkhoff G., Generalized arithmetic, Duke Math. J., 9 (1942), 283-302. (1942) Zbl0060.12609MR0007031
  4. Kopeček O., Die arithmetischen Operationen für geordnete Mengen, Arch. Math. (Brno) 4 (1968), 157-174. (1968) Zbl0211.02803MR0269555
  5. Slatinský E., Die arithmetische Operation der Summe, Arch. Math. (Brno), im Dгuck. Zbl0554.06007MR0785042

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