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The shape of congruence lattices
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eBook
The shape of congruence lattices
2013
Overview
We develop the theories of the strong commutator, the rectangular commutator, the strong rectangular commutator, as well as a
solvability theory for the nonmodular TC commutator. These theories are used to show that each of the following sets of statements are
equivalent for a variety
We prove that a
residually small variety that satisfies a congruence identity is congruence modular.
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