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Ross Willard - Independence of the linear commutator



ROSS WILLARD, Pure Mathematics Department, University of Waterloo, Waterloo, Ontario  N2L 3G1, Canada
Independence of the linear commutator


Years ago, Lampe discovered some unexpected interactions between the congruence lattice of an algebra (as an abstract lattice) and the term-condition commutator operation on this lattice. We claim that no result of this kind is possible for the linear commutator. In particular, no lattice-theoretic property of the congruence lattice of an algebra can force the algebra to be quasi-affine. This is joint work with K. A. Kearnes (University of Louisville) and W. A. Lampe (University of Hawaii).



 

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