Joel Berman
Abstract
Characterizations of those unary algebras whose congruence lattices are semimodular or atomic are obtained. Combining these results gives necessary and sufficient conditions for a unary algebra to have a geometric congruence lattice.
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Characterizations of those unary algebras whose congruence lattices are semimodular or atomic are obtained. Combining these results gives necessary and sufficient conditions for a unary algebra to have a geometric congruence lattice.
Key concepts: Unary operation, Congruence (geometry), Mathematics, Lattice (music), Pure mathematics, Congruence relation, Algebra over a field, Combinatorics