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


08A55 Partial algebras
08A60 Unary algebras
05C75 Structural characterization of families of graphs
08A30 Subalgebras, congruence relations
Full Text: EuDML