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Weak subalgebra lattices of monounary partial algebras. (English) Zbl 0711.08007
Monounary partial algebras are determined by their weak subalgebra lattices, namely: Theorem. Let $${\mathfrak A}$$ be a partial monounary algebra. Then $${\mathfrak A}$$ is uniquely determined in the class of all partial monounary algebras by its weak subalgebra lattice iff each connected component of $${\mathfrak A}$$ with more than two elements contains a symmetric cycle.
Reviewer: B.Wojdyło

##### MSC:
 08A55 Partial algebras 08A60 Unary algebras 05C75 Structural characterization of families of graphs 08A30 Subalgebras, congruence relations
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