Abstract
The algebraic geometry of a universal algebra {textbf{A}} is defined as the collection of solution sets of systems of term equations. Two algebras {textbf{A}}_1 and {textbf{A}}_2 are called algebraically equivalent if they have the same algebraic geometry. We prove that on a finite set A with |A| there are countably many algebraically inequivalent Mal’cev algebras and that on a finite set A with |A| there are continuously many algebraically inequivalent algebras.
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