Uniform ideal completions

Marcel Erné; Vladimír Palko

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 4, page 327-335
  • ISSN: 0139-9918

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Erné, Marcel, and Palko, Vladimír. "Uniform ideal completions." Mathematica Slovaca 48.4 (1998): 327-335. <http://eudml.org/doc/32039>.

@article{Erné1998,
author = {Erné, Marcel, Palko, Vladimír},
journal = {Mathematica Slovaca},
keywords = {poset; directed ideal; Frink ideal; Cauchy ideal; ideal completion; compact elements; uniformity},
language = {eng},
number = {4},
pages = {327-335},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Uniform ideal completions},
url = {http://eudml.org/doc/32039},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Erné, Marcel
AU - Palko, Vladimír
TI - Uniform ideal completions
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 4
SP - 327
EP - 335
LA - eng
KW - poset; directed ideal; Frink ideal; Cauchy ideal; ideal completion; compact elements; uniformity
UR - http://eudml.org/doc/32039
ER -

References

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  1. ERNÉ M., Adjunctions and standard completions for partially ordered sets, In: Contributions to General Algebra 2. Proc. Klagenfurt 1982 (G. Eigenthaler et. al., eds.), Hölder-Pichler-Tempsky, Wien, 1983, pp. 77-106. (1982) MR0721648
  2. ERNÉ M., Order extensions as adjoint functors, Quaestiones Math. 9 (1986), 149-206. (1986) Zbl0602.06002MR0862298
  3. ERNÉ M., Ordnungs- und Verbandstheorie, Lecture Notes, Fernuniversität, Hagen, 1987. (1987) 
  4. ERNÉ M., Compact generation in partially ordered sets, J. Austral. Math. Soc. Ser. A 42 (1987), 69-83. (1987) Zbl0614.06004MR0862722
  5. ERNÉ M., Algebraic ordered sets and their generalizations, In: Algebras and Orders. Proc. Montreal 1991. NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 389 (I. G. Rosenberg, G. Sabidussi, eds.), Kluwer Acad. Publ., Dordrecht-Boston-London, 1993. (1991) MR1233790
  6. FRINK O., Ideals in partially ordered sets, Amer. Math. Monthly 61 (1954), 223-234. (1954) Zbl0055.25901MR0061575
  7. GIERZ G.-HOFMANN K. H.-KEIMEL K.-LAWSON J. D., MISLOVE M. SCOTT D. S., A Compendium of Continuous Lattices, Springer-Verlag, Berlin-Heidelberg-New York, 1980. (1980) MR0614752
  8. HOFFMANN R.-E., Sobrification of partially ordered sets, Semigroup Forum 17 (1979),123-138. (1979) Zbl0402.54035MR0527214
  9. HOFFMANN R.-E., Essentially complete T 0 -spaces, Manuscripta Math. 27 (1979), 401-432. (1979) Zbl0418.54020MR0534803
  10. HOFMANN K. H.-MISLOVE M.-STRALKA A. R., The Pontryagin Duality of Compact Semilattices and Its Applications, Lecture Notes in Math. 396, Springer-Verlag, Berlin-Heidelberg-New York, 1974. (1974) MR0354921
  11. PRIESTLEY H. A., Algebraic lattices as dual spaces of distributive lattices, In: Continuous Lattices and Their Applications. Lecture Notes in Pure and Appl. Math. 101 (R.-E. Hoffmann, K. H. Hofmann, eds.), Marcel Dekker, New York-Basel, 1985. (1985) Zbl0577.06011MR0826005

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