Isotyped Algebras
نویسنده
چکیده
The paper is essentially a continuation of [PZ], whose main notion is that of logic-geometrical equivalence of algebras (LG-equivalence of algebras). This equivalence of algebras is stronger than elementary equivalence. In the paper we introduce the notion of isotyped algebras and relate it to LG-equivalence. We show that these notions coincide. The idea of the type is one of the central ideas in Model Theory. The correspondence introduced in the paper stimulates a bunch of problems which connect universal algebraic geometry and Model Theory. We provide a new general view on the subject, arising ”on the territory” of universal algebraic geometry. This insight yields also applications of algebraic logic in Model Theory. Application of algebraic logic in Model theory makes some approaches more
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