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The congruence extension property and subdirectly irreducible algebras - an example. (English) Zbl 0273.08006


MSC:

08B99 Varieties
08Axx Algebraic structures
20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms)
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[1] B. Banaschewski,Injectivity and essential extensions in equational classes, Proceedings of the Conference in Universal Algebra, Queen’s University (1969). · Zbl 0233.18002
[2] A. Day,Injectives in non-distributive equational classes of lattices are trivial, Arch. der Math.21 (1970), 113–115. · Zbl 0208.29201
[3] A. Day,A note on the congruence extension property, Alg. Univ.1 (1971), 134–235. · Zbl 0228.08001
[4] A. Day,Injectivity in equational classes of algebras, Can. J. Math.24 (1972), 209–220. · Zbl 0254.08008
[5] G. Grätzer,Universal Algebra (Van Nostrand, Princeton, N. J., 1968).
[6] G. Grätzer and H. Lakser,The structure of pseudo-complemented distributive lattices II. · Zbl 0244.06010
[7] G. Grätzer and H. Lakser,Two observations on the congruence extension property. · Zbl 0285.08006
[8] D. Higgs,Remarks on residually small varieties, Alg. Univ.1 (1972), 383–385. · Zbl 0243.08004
[9] B. Jónsson,Algebras whose congruence lattice is distributive, Math. Scand.21 (1967), 110–121. · Zbl 0167.28401
[10] J. Kalicki and D. Scott,Some equationally complete algebras, Bull A.M.S.59 (1953), 77–78.
[11] Walter Taylor,Residually small varieties.
[12] Walter Taylor,On a problem of A. Day, preprint.
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