Abstract:
We look into the relationship between the so-called additive universal algebras $\mathfrak A_0=\langle A;\sigma_0\rangle$ and $\mathfrak A_1=\langle A;\sigma_1\rangle$ with common universe $A$ having the same algebraic sets ($\operatorname{Alg}_n\mathfrak A_0=\operatorname{Alg}_n\mathfrak A_1$ for any $n\in\omega$) and subalgebras ($\operatorname{Sub}\mathfrak A_0=\operatorname{Sub}\mathfrak A_1$).
Keywords:algebraic geometry of universal algebras, algebraic set, additive universal algebra.
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