×
Bandelt, Hans-J.; Erne, Marcel

The category of Z-continuous posets. (English) Zbl 0523.06001

J. Pure Appl. Algebra 30, 219-226 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0523.06001

Cited in 1 Review
Cited in 23 Documents

MSC:

06A06 Partial orders, general
06A15 Galois correspondences, closure operators (in relation to ordered sets)
06B23 Complete lattices, completions

Keywords:

completely distributive poset; ideals; continuous lattices; posets; Z- continuous posets; Z-algebraic posets; Z-morphisms
PDF BibTeX XML Cite
\textit{H.-J. Bandelt} and \textit{M. Erne}, J. Pure Appl. Algebra 30, 219--226 (1983; Zbl 0523.06001)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[1] Balbes, R.; Dwinger, P., Distributive lattices, (1974), University of Missouri Press Columbus · Zbl 0321.06012
[2] ()
[3] H.J. Bandelt and M. Erné, Representations and embeddings of θ-distributive lattices, Houston J. Math., to appear.
[4] Blyth, T.S.; Janowitz, M.R., Residuation theory, (1972), Pergamon Press Oxford · Zbl 0301.06001
[5] P. Dwinger, Characterization of the complete homomorphic images of a completely distributive complete lattice I, Indag. Math., to appear. · Zbl 0503.06012
[6] Geissinger, I.; Graves, W., The category of complete algebraic lattices, J. combin. theory (A), 13, 332-338, (1972) · Zbl 0245.06003
[7] Gierz, G.; Hofmann, K.H.; Keimel, K.; Lawson, J.D.; Mislove, M.; Scott, D.S., A compendium of continuous lattices, (1980), Springer Berlin · Zbl 0452.06001
[8] Hoffmann, R.-E., Continuous posets and adjoint sequences, Semigroup forum, 18, 173-188, (1979) · Zbl 0427.06003
[9] K.H. Hofmann, The category of completely distributive lattices and their free objects, SCS-Memo 11-24-81.
[10] Hofmann, K.H.; Lawson, J., The spectral theory of distributive continuous lattices, Trans. amer. math. soc., 246, 285-310, (1978) · Zbl 0402.54043
[11] Hofmann, K.H.; Stralka, A., The algebraic theory of compact lawson semilattices - applications of Galois connections to compact semilattices, Dissertationes math., 137, 1-58, (1976) · Zbl 0359.06016
[12] Lawson, J.D., The duality of continuous posets, Houston J. math., 5, 357-386, (1979) · Zbl 0428.06003
[13] Novak, D., Generalization of continuous posets, Trans. amer. math. soc., 272, 645-667, (1982) · Zbl 0504.06003
[14] Wright, J.B.; Wagner, E.G.; Thatcher, J.W., A uniform approach to inductive posets and inductive closure, Theoret. comput. sci., 7, 57-77, (1978) · Zbl 0732.06001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.