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We use Priestley's duality to characterize, via their dual space, the distributive double p-algebras on which all congruences are principal.
1.Adams, M. E., Principal congruences in de Morgan algebras, Proc. Edinburgh Math. Soc.30 (1987), 415–421.CrossRefGoogle Scholar
2
2.Beazer, R., Some p-algebras and double p-algebras having only principal congruences, Glasgow Math. J.34 (1992), 157–164.CrossRefGoogle Scholar
3
3.Blyth, T. S. and Varlet, J. C., Principal congruences on some lattice-ordered algebras, Discrete Math.81 (1990), 323–329.CrossRefGoogle Scholar
4
4.Davey, B. A., Subdirectly irreducible distributive double p-algebras, Algebra Universalis8 (1978), 73–88.CrossRefGoogle Scholar
5
5.Davey, B. A. and Priestley, H. A., Introduction to Lattices and Order (Cambridge University Press, Cambridge, 1990).Google Scholar
6
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
7.Priestley, H. A., Stone lattices: a topological approach, Fund. Math.84 (1974), 127–143.CrossRefGoogle Scholar
8
8.Priestley, H. A., The construction of spaces dual to pseudocomplemented distributive lattices, Quart. J. Oxford26 (1975), 215–228.CrossRefGoogle Scholar
9
9.De Carvalho, J. Vaz, Congruências principals em álgebras de Stone duplas, Actas XV Jornadas Luso-Espanholas de Matemática1 (1990), 49–54.Google Scholar