2019
DOI: 10.48550/arxiv.1910.00689
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Algebras from Congruences

Peter Mayr,
Agnes Szendrei

Abstract: We present a functorial construction which, starting from a congruence α of finite index in an algebra A, yields a new algebra C with the following properties: the congruence lattice of C is isomorphic to the interval of congruences between 0 and α on A, this isomorphism preserves higher commutators and TCT types, and C inherits all idempotent Maltsev conditions from A.As applications of this construction, we first show that supernilpotence is decidable for congruences of finite algebras in varieties that omit… Show more

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