Abstract
This chapter presents a general method of constructing new algebras, which are more general as the original ones. The method is in some sense opposite to constructing algebras by homomorphic images. By this method, one gets from a class K of algebras another, usually larger class, G(K), of algebras of the same type. The chapter also explores the basic properties of the operator G. It presents a theorem that states that if K is closed under taking direct products or subalgebras, then so is G(K) and if K is closed under taking direct products, then so is G(K). It also presents another theorem that states that there exists a variety V such that G(V) is not a variety.
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