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ArticleOriginal scientific text

Title

Completion of partially ordered sets

Authors 1

Affiliations

  1. Department of Mathematics, University of Latvia, 19 Raina Blvd., Riga LV-1586, Latvia

Abstract

The paper considers a generalization of the standard completion of a partially ordered set through the collection of all its lower sets.

Keywords

ENG
quantale module, reflective category, Q-poset

Bibliography

  1. J. Adámek, H. Herrlich and G.E. Strecker, Abstract and Concrete Categories, John Wiley 1990.
  2. G. Gierz, K.H. Hofmann and et al., Continuous Lattices and Domains, Cambridge University Press 2003.
  3. T. Hungerford, Algebra, Springer-Verlag 2003.
  4. S. Lang, Algebra, 3rd ed., Springer-Verlag 2002.
  5. K.I. Rosenthal, The Theory of Quantaloids, Addison Wesley 1996.
  6. T.S. Blyth, Lattices and Ordered Algebraic Structures, Springer-Verlag 2005.
Discussiones Mathematicae - General Algebra and Applications
2007/27/1
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Pages:
59-67
Main language of publication
English
Received
2006-03-02
Accepted
2006-05-23
Published
2006

DOI: 10.7151/dmgaa.1119

Exact and natural sciences