3 citations · 14 across the 19 of their papers we have counts for
Showing 2013 · math.RAShow all
3 papers · 2 filters
math.RA2013
Algebraic geometry over Boolean algebras in the language with constants
Artem N. Shevlyakov
We study equations over boolean algebras with distinguished elements. We prove the criteria, when a boolean algebra is equationally Noetherian, weakly equationally Noetherian, $\ma…
math.RA2013★ 3 cited
On disjunctions of equations over finite simple semigroups
Artem N. Shevlyakov
A semigroup is called an equational domain if any finite union of algebraic sets over is algebraic. For a finite simple semigroup we find necessary and sufficient condition…
math.RA2013★ 2 cited
On disjunctions of equations over semigroups
Artem N. Shevlyakov
A semigroup is called an equational domain (e.d.) if any finite union of algebraic sets over is algebraic. For a semigroup with a finite ideal we find the necessary and…