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math.RA2023
On when the union of two algebraic sets is algebraic
Erhard Aichinger, Mike Behrisch, Bernardo Rossi
In universal algebraic geometry, an algebra is called an equational domain if the union of two algebraic sets is algebraic. We characterize equational domains, with respect to poly…
math.RA2023★ 1 cited
Zero testing and equation solving for sparse polynomials on rectangular domains
Erhard Aichinger, Simon Grünbacher, Paul Hametner
We consider sparse polynomials in variables over a finite field, and ask whether they vanish on a set , where is a set of nonzero elements of the field. We see that if…