LIMIT PRESERVING FULL EMBEDDINGS Dedicated to Professor Walter Tholen on his 60 th birthday
نویسندگان
چکیده
We prove that every small strongly connected category k has a full embedding preserving all limits existing in k into a category of unary universal algebras. The number of unary operations can be restricted to |mor k | in case when k has a terminal object and only preservation of limits over finitely many objects is desired. And all limits existing in such a category k are preserved by a full embedding of k into the category of all algebraic systems with |mor k | unary operation and one unary relation.
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