Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-25T16:25:18.667Z Has data issue: false hasContentIssue false
  • English
  • Français

Principal congruences on distributive double p-algebras

Published online by Cambridge University Press:  20 January 2009

Júlia Vaz De Carvalho
Júlia Vaz De Carvalho
Affiliation:
Centro de Álgebra da Universidade de Lisboa Av. Prof. Gama Pinto, 2 1699 Lisboa Codex Portugal
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.

We use Priestley's duality to characterize, via their dual space, the distributive double p-algebras on which all congruences are principal.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 3 , October 1996 , pp. 491 - 503
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

REFERENCES

1. Adams, M. E., Principal congruences in de Morgan algebras, Proc. Edinburgh Math. Soc. 30 (1987), 415–421.CrossRefGoogle Scholar
2. Beazer, R., Some p-algebras and double p-algebras having only principal congruences, Glasgow Math. J. 34 (1992), 157–164.CrossRefGoogle Scholar
3. Blyth, T. S. and Varlet, J. C., Principal congruences on some lattice-ordered algebras, Discrete Math. 81 (1990), 323–329.CrossRefGoogle Scholar
4. Davey, B. A., Subdirectly irreducible distributive double p-algebras, Algebra Universalis 8 (1978), 73–88.CrossRefGoogle Scholar
5. Davey, B. A. and Priestley, H. A., Introduction to Lattices and Order (Cambridge University Press, Cambridge, 1990).Google Scholar
6. Goldberg, M. S., Distributive p-algebras and Ockham algebras: a Topological Approach (Ph.D. thesis, La Trobe University, Bundoora, Australia, 1979).Google Scholar
7. Priestley, H. A., Stone lattices: a topological approach, Fund. Math. 84 (1974), 127–143.CrossRefGoogle Scholar
8. Priestley, H. A., The construction of spaces dual to pseudocomplemented distributive lattices, Quart. J. Oxford 26 (1975), 215–228.CrossRefGoogle Scholar
9. De Carvalho, J. Vaz, Congruências principals em álgebras de Stone duplas, Actas XV Jornadas Luso-Espanholas de Matemática 1 (1990), 49–54.Google Scholar