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Keywords:
(algebraically) universal category; finite-to-finite universal category; almost universal category; $0$-lattice; variety of $0$-lattices
(algebraically) universal category; finite-to-finite universal category; almost universal category; $0$-lattice; variety of $0$-lattices
Summary:
A concrete category $\Bbb K$ is (algebraically) {\it universal\/} if any category of algebras has a full embedding into $\Bbb K$, and $\Bbb K$ is {\it almost universal\/} if there is a class $\Cal C$ of $\Bbb K$-objects such that all non-constant homomorphisms between them form a universal category. The main result of this paper fully characterizes the finitely generated varieties of $0$-lattices which are almost universal.
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