Displaying similar documents to “Homogeneous algebras are simple”

On some congruences of power algebras

Agata Pilitowska, Anna Zamojska-Dzienio (2012)

Open Mathematics

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In a natural way we can “lift” any operation defined on a set A to an operation on the set of all non-empty subsets of A and obtain from any algebra (A, Ω) its power algebra of subsets. In this paper we investigate extended power algebras (power algebras of non-empty subsets with one additional semilattice operation) of modes (entropic and idempotent algebras). We describe some congruence relations on these algebras such that their quotients are idempotent. Such congruences determine...