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math.RA2016
New problems in universal algebraic geometry illustrated by boolean equations
Artem N. Shevlyakov
We discuss new problems in universal algebraic geometry and explain them by boolean equations.
math.RA2016
Equationally extremal semilattices
Artem N. Shevlyakov
In the current paper we study extremal semilattices with respect to their equational properties. In the class of all semilattices of order we find semilattices w…
math.RA2016
On irreducible algebraic sets over linearly ordered semilattices
A. N. Shevlyakov
Equations over linearly ordered semilattices are studied. For any equation we find irreducible components of its solution set and compute the average number of irreduci…
math.AG2016
Lectures notes in universal algebraic geometry
A. Shevlyakov
Lectures notes in universal algebraic geometry for beginners