On a characterization of the lattice of 𝔪 -ideals of an ordered set

Jiří Rosický

Archivum Mathematicum (1972)

  • Volume: 008, Issue: 3, page 137-142
  • ISSN: 0044-8753

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Rosický, Jiří. "On a characterization of the lattice of $\mathfrak {m}$-ideals of an ordered set." Archivum Mathematicum 008.3 (1972): 137-142. <http://eudml.org/doc/15926>.

@article{Rosický1972,
author = {Rosický, Jiří},
journal = {Archivum Mathematicum},
language = {eng},
number = {3},
pages = {137-142},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a characterization of the lattice of $\mathfrak \{m\}$-ideals of an ordered set},
url = {http://eudml.org/doc/15926},
volume = {008},
year = {1972},
}

TY - JOUR
AU - Rosický, Jiří
TI - On a characterization of the lattice of $\mathfrak {m}$-ideals of an ordered set
JO - Archivum Mathematicum
PY - 1972
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 008
IS - 3
SP - 137
EP - 142
LA - eng
UR - http://eudml.org/doc/15926
ER -

References

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  1. Birkhoff G., Lattice theory, Third (New) Edition 1967. (1967) Zbl0153.02501MR0227053
  2. Birkhoff G., Frink O., Representations of lattices by sets, Trans. Amer. Math. Soc. 64 (1948), 299-315. (1948) Zbl0032.00504MR0027263
  3. Frink O., Ideals in partially ordered sets, Amer. Math. Monthly, 61 (1954), 223-233. (1954) Zbl0055.25901MR0061575
  4. Mayer-Kalkschmidt J., Steiner E., Some theorems in set theory and applications in the ideal theory of partially ordered sets, Duke Math. Jour., 31 (1964), 287-290. (1964) Zbl0151.01302MR0160729
  5. Nachbin L., On a characterization of the lattice of all ideals of a Boolean ring, Fund. Math., 36 (1949), 137-142. (1949) Zbl0039.25901MR0035278
  6. Mayer J., Novotný M., On some topologies on products of ordered sets, Arch. Math. (Brno), 1 (1965), 251-257. (1965) MR0195071
  7. Novotný M., Über gewisse Probleme der Kardinalarithmetik, Publ. Fac. Sci. Univ. Brno, 457 (1964), 478-481. (1964) 

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