Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-27T23:00:25.284Z Has data issue: false hasContentIssue false
  • English
  • Français

Finite projective double Stone algebras

Published online by Cambridge University Press:  14 November 2011

Ivo Düntsch
Ivo Düntsch
Affiliation:
Department of Mathematics, Bayero University, P.M.B. 3011, Kano, Nigeria
Get access Rights & Permissions [Opens in a new window]

Synopsis

We characterize the finite projective double Stone algebras, and also make some observations concerning infinite projective double Stone algebras.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 1-2 , 1984 , pp. 65 - 67
Copyright
Copyright © Royal Society of Edinburgh 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Balbes, R. and Gratzer, G.. Injective and projective Stone algebras. Duke Math. J. 38 (1971), 339–347.CrossRefGoogle Scholar
2Davey, B.. Subdirectly irreducible distributive double p-algebras. Algebra Universalis 8 (1978), 73–88.Google Scholar
3Diintsch, I.. Projectivity, prime ideals, and chain conditions of Stone algebras. Algebra Universalis 14 (1982), 167–180.Google Scholar
4Diintsch, I.. A description of the projective Stone algebras. Glasgow Math. J. 24 (1983), 75–82.Google Scholar
5Diintsch, I.. On free or projective regular double Stone algebras. Houston J. Math., to appear.Google Scholar
6Gratzer, G.. General lattice theory (Basel: Birkhauser, 1978).Google Scholar
7Hecht, T. and Katriiiak, T.. Free double Stone algebras. Colloq. Math. Soc. Jdnos Bolyai 14 (1974), 77–95.Google Scholar
8Urquhart, A.. Projective distributive p-algebras. Bull. Austral. Math. Soc. 24 (1981), 269–275.Google Scholar