Geodesic
Double MSn-algebras and double Kn.m-algebras
Glasgow mathematical journal, Tome 35 (1993) no. 2, pp. 189-201

Voir la notice de l'article provenant de la source Cambridge University Press

The variety O2 of all algebras (L; ∧, ∨, f, g, 0, 1) of type (2, 2, 1, 1, 0, 0) such that (L; ∧, ∨, f, 0, 1) and (L; ∧, ∨, g, 0, 1) are Ockham algebras is introduced, and, for n, m εN, its subvarieties DMSn, of double MSn-algebras, and DKn,m, of double Kn,m-algebras, are considered. It is shown that DKn,m has equationally definable principal congruences: a description of principal congruences on double Kn,m-algebras is given and simplified for double MSn-algebras. A topological duality for O2-algebras is developed and used to determine the subdirectly irreducible algebras in DKn,m and in DMSn. Finally, MSn-algebras which are reduct of a (unique) double MSn-algebra are characterized. 
Sequeira, M. Double MSn-algebras and double Kn.m-algebras. Glasgow mathematical journal, Tome 35 (1993) no. 2, pp. 189-201. doi: 10.1017/S0017089500009745
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