11 research outputs found
MALâTSEV CONDITIONS, LACK OF ABSORPTION, AND SOLVABILITY
Abstract. We provide a new characterization of several Malâtsev conditions for locally finite varieties using hereditary term properties. We show a particular example how lack of absorption causes collapse in the Malâtsev hierarchy, and point out a connection between solvability and lack of absorption. As a consequence, we provide a new and conceptually simple proof of a result of Hobby and McKenzie, saying that locally finite varieties with a Taylor term possess a term which is Malâtsev on blocks of every solvable congruence in every finite algebra in the variety. 1
Clones minimaux et opérations majorité
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