n-ALGEBRAIC COMPLETE ALGEBRAS, PSEUDODIRECT PRODUCTS, AND THE ALGEBRAIC CLOSURE OPERATOR ON SUBSETS OF UNIVERSAL ALGEBRAS

摘要

We introduce the notions ofn-algebraic complete algebras andn-algebraic completeness, which makes it possible to find algebraic closures of subsets of universal algebras. We clarify how then-algebraic completeness of an algebra is connected with the pseudodirect product of algebras.