3 citations · 14 across the 19 of their papers we have counts for
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math.AG2014
On disjunctions of algebraic sets in completely simple semigroups
Artem N. Shevlyakov
A semigroup is called an equational domain if any finite union of algebraic sets over is algebraic. We prove some necessary and sufficient conditions for a completely simpl…
math.AG2014★ 1 cited
Finite subsemigroups of free left regular bands
Artem N. Shevlyakov
We describe all finite subsemigroups of a free left regular band of infinite rank. Moreover, we show applications of this result in algebraic geometry and model theory.
math.AG2014★ 3 cited
Algebraic geometry over free semilattice
Artem N. Shevlyakov
We deal with equations over free semilattice of infinite rank and prove that any infinite consistent system of equations is equivalent to its finite subsystem. Moreover, we describ…