Completion of partially ordered sets

Sergey A. Solovyov

Discussiones Mathematicae - General Algebra and Applications (2006)

  • Volume: 27, Issue: 1, page 59-67
  • ISSN: 1509-9415

Abstract

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

How to cite

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Sergey A. Solovyov. "Completion of partially ordered sets." Discussiones Mathematicae - General Algebra and Applications 27.1 (2006): 59-67. <http://eudml.org/doc/276828>.

@article{SergeyA2006,
abstract = {The paper considers a generalization of the standard completion of a partially ordered set through the collection of all its lower sets.},
author = {Sergey A. Solovyov},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {quantale module; reflective category; Q-poset; -poset},
language = {eng},
number = {1},
pages = {59-67},
title = {Completion of partially ordered sets},
url = {http://eudml.org/doc/276828},
volume = {27},
year = {2006},
}

TY - JOUR
AU - Sergey A. Solovyov
TI - Completion of partially ordered sets
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2006
VL - 27
IS - 1
SP - 59
EP - 67
AB - The paper considers a generalization of the standard completion of a partially ordered set through the collection of all its lower sets.
LA - eng
KW - quantale module; reflective category; Q-poset; -poset
UR - http://eudml.org/doc/276828
ER -

References

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  1. [1] J. Adámek, H. Herrlich and G.E. Strecker, Abstract and Concrete Categories, John Wiley 1990. Zbl0695.18001
  2. [2] G. Gierz, K.H. Hofmann and et al., Continuous Lattices and Domains, Cambridge University Press 2003. Zbl1088.06001
  3. [3] T. Hungerford, Algebra, Springer-Verlag 2003. 
  4. [4] S. Lang, Algebra, 3rd ed., Springer-Verlag 2002. 
  5. [5] K.I. Rosenthal, The Theory of Quantaloids, Addison Wesley 1996. Zbl0845.18003
  6. [6] T.S. Blyth, Lattices and Ordered Algebraic Structures, Springer-Verlag 2005. 

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