Completion of partially ordered sets

• Autorzy: Sergey A. Solovyov
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

quantale module; reflective category; Q-poset

Kategorie tematyczne

• 06B23: Complete lattices, completions
• 18B99: None of the above, but in this section

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2007
• Tom: 27
• Numer: 1
• Strony: 59-67

Daty

wydano

2006

otrzymano

2006-03-02

poprawiono

2006-05-23

Twórcy

autor

Sergey A. Solovyov

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

Bibliografia

• [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.

Identyfikatory

DOI

10.7151/dmgaa.1119