On lattices and algebras of simple functions

Yurij Aleksandrovich Abramovich; Zbigniew Lipecki

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 4, page 627-635
  • ISSN: 0010-2628

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Abramovich, Yurij Aleksandrovich, and Lipecki, Zbigniew. "On lattices and algebras of simple functions." Commentationes Mathematicae Universitatis Carolinae 031.4 (1990): 627-635. <http://eudml.org/doc/17884>.

@article{Abramovich1990,
author = {Abramovich, Yurij Aleksandrovich, Lipecki, Zbigniew},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {prime; homomorphism; hyper-Archimedean; uniformly closed; sublattice; lattice-ordered algebra; subalgebras; ideals in lattice-ordered algebras of simple functions},
language = {eng},
number = {4},
pages = {627-635},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On lattices and algebras of simple functions},
url = {http://eudml.org/doc/17884},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Abramovich, Yurij Aleksandrovich
AU - Lipecki, Zbigniew
TI - On lattices and algebras of simple functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 4
SP - 627
EP - 635
LA - eng
KW - prime; homomorphism; hyper-Archimedean; uniformly closed; sublattice; lattice-ordered algebra; subalgebras; ideals in lattice-ordered algebras of simple functions
UR - http://eudml.org/doc/17884
ER -

References

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  2. Bigard A., Keimel K., Wolfenstein S., Groupes et anneaux réticulés, Lecture Notes in Math. 608, Springer-Verlag, Berlin - Heidelberg - New York, 1977. (1977) Zbl0384.06022MR0552653
  3. Bogdanowicz W. M., Measurability and linear lattices of real functions closed under convergence everywhere, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 20 (1972), 981-986. (1972) Zbl0243.28009MR0313776
  4. Bourbaki N., Topologie générale, Ch. X, Hermann, Paris, 1961. (1961) Zbl0139.15904
  5. Constatinescu C., Weber K., Sontag A., Integration Theory, vol. 1: Measure and Integral, John Wiley & Sons, New York, 1985. (1985) MR0807147
  6. Dierolf P., Dierolf S., Drewnowski L., Remarks and examples concerning unordered Bairelike and ultra-barelled spaces, Colloq. Math. 39 (1978), 109-116. (1978) MR0507270
  7. Lipecki Z., On some dense subspaces of topological linear spaces, Studia Math. 77 (1984), 413-421. (1984) Zbl0552.46002MR0751762
  8. Lipecki Z., On common extensions of two quasi-measures, Czechoslovak Math. J. 36 (1986), 489-494. (1986) Zbl0622.28007MR0847776
  9. Loomis L. H., An Introduction to Abstract Harmonic Analysis, D. van Nostrand Company, New York, 1953. (1953) Zbl0052.11701MR0054173
  10. Luxemburg W. A. J., Zaanen A. C., Riesz Spaces I, North-Holland, Amsterdam - London, 1971. (1971) 
  11. Rudin W., Continuous functions on compact spaces without perfect subsets, Proc. Amer. Math. Soc. 8 (1957), 39-42. (1957) Zbl0077.31103MR0085475
  12. Schaefer H. H., Banach Lattices and Positive Operators, Springer-Verlag, Berlin - Heidelberg - New York, 1974. (1974) Zbl0296.47023MR0423039
  13. Weber H., Minimal ring topologies, preprint. Zbl0861.12005MR1302760

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