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On injectives in some varieties of Ockham algebras

Published online by Cambridge University Press:  18 May 2009

Teresa Almada
Teresa Almada
Affiliation:
Dep. De MatematicaFac. Ciėncias De LisboaR. Ernesto de Vasconcelos, Bloco C11700 Lisboa, Portugal
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The study of bounded distributive lattices endowed with an additional dual homomorphic operation began with a paper by J. Berman [3]. Subsequently these algebras were called distributive Ockham lattices and an order-topological duality theory for them was developed by A. Urquhart [12]. In [9], M. S. Goldberg extended this theory and described the injective algebras in the subvarieties of the variety O of distributive Ockham algebras which are generated by a single subdirectly irreducible algebra. The aim here is to investigate some elementary properties of injective algebras in join reducible members of the lattice of subvarieties of Kn,1 and to give a complete description of injectivealgebras in the subvarieties of the Ockham subvariety defined by the identity x Λ f2n(x) = x.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 35 , Issue 3 , September 1993 , pp. 345 - 351
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993

References

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