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Article

Title: Uniform ideal completions (English)
Author: Erné, Marcel
Author: Palko, Vladimír
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 48
Issue: 4
Year: 1998
Pages: 327-335
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Category: math
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MSC: 06A06
MSC: 06B23
MSC: 54D35
MSC: 54E15
idZBL: Zbl 0960.06002
idMR: MR1693533
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Date available: 2009-09-25T11:31:15Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/130604
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Reference: [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. MR 0721648
Reference: [2] ERNÉ M.: Order extensions as adjoint functors.Quaestiones Math. 9 (1986), 149-206. Zbl 0602.06002, MR 0862298
Reference: [3] ERNÉ M.: Ordnungs- und Verbandstheorie.Lecture Notes, Fernuniversität, Hagen, 1987.
Reference: [4] ERNÉ M.: Compact generation in partially ordered sets.J. Austral. Math. Soc. Ser. A 42 (1987), 69-83. Zbl 0614.06004, MR 0862722
Reference: [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. MR 1233790
Reference: [6] FRINK O.: Ideals in partially ordered sets.Amer. Math. Monthly 61 (1954), 223-234. Zbl 0055.25901, MR 0061575
Reference: [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. MR 0614752
Reference: [8] HOFFMANN R.-E.: Sobrification of partially ordered sets.Semigroup Forum 17 (1979),123-138. Zbl 0402.54035, MR 0527214
Reference: [9] HOFFMANN R.-E.: Essentially complete $T_0$-spaces.Manuscripta Math. 27 (1979), 401-432. Zbl 0418.54020, MR 0534803
Reference: [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. MR 0354921
Reference: [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. Zbl 0577.06011, MR 0826005
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