Hostname: page-component-77c89778f8-9q27g Total loading time: 0 Render date: 2024-07-23T20:12:37.987Z Has data issue: false hasContentIssue false
  • English
  • Français

A characterization of weak projectability

Published online by Cambridge University Press:  17 April 2009

J.B. Miller
J.B. Miller
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

For a commutative l–group G with carrier lattice , G is weakly projectable iff the proper prime filters of are all maximal filters.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 2 , April 1973 , pp. 205 - 209
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Davis, G., “Orthogonality relations on abelian groups”, J. Austral. Math. Soc. (to appear).Google Scholar
[2]Fuchs, L., Partially ordered algebraic systems (Pergamon, Oxford, London, New York, Paris, 1963).Google Scholar
[3]Speed, T.P., “On commutative l–groups”, (to appear).Google Scholar
[4]Spirason, G.T., “W-l-groups”, (PhD thesis, Monash University, 1972).Google Scholar
[5]Spirason, G.T. and Strzelecki, E., “A note on Pt -ideals”, J. Austral. Math. Soc. 14 (1972), 304–310.CrossRefGoogle Scholar
[6]Strzelecki, E., “An example of a non-weakly-projectable Banach lattice”, J. Austral. Math. Soc. (to appear).Google Scholar
[7]Veksler, A.I., “Linear spaces with disjoint elements and their conversion into vector lattices”, Leningrad. Gos. Ped. Inst. Včen. Zap. 328 (1967), 19–43.Google Scholar