Abstract
We present pairs of isotopic algebras with congruence lattices of different sizes, thus answering negatively the question of whether isotopic algebras must have isomorphic congruence lattices.
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DeMeo, W.: Dedekind’s Transposition Principle for lattices of equivalence relations (2012) http://arxiv.org/abs/1301.6788
McKenzie, R.N., McNulty, G.F., Taylor, W.F.: Algebras, lattices, varieties, vol. 1. Wadsworth & Brooks/Cole, Monterey (1987)
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Presented by E. Kiss.
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DeMeo, W. Isotopic algebras with nonisomorphic congruence lattices. Algebra Univers. 72, 295–298 (2014). https://doi.org/10.1007/s00012-014-0301-4
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DOI: https://doi.org/10.1007/s00012-014-0301-4