2020
DOI: 10.48550/arxiv.2003.00509
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Profinite congruences and unary algebras

J. Almeida,
O. Klíma

Abstract: Profinite congruences on profinite algebras determining profinite quotients are difficult to describe. In particular, no constructive description is known of the least profinite congruence containing a given binary relation on the algebra. On the other hand, closed congruences and fully invariant congruences can be described constructively. In a previous paper, we conjectured that fully invariant closed congruences on a relatively free profinite algebra are always profinite. Here, we show that our conjecture f… Show more

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