2 citations · 3 across the 5 of their papers we have counts for
5 papers
Polynomial interpolation of partial functions in finite algebras with a Mal'cev term
Erhard Aichinger, Mario Kapl, Bernardo Rossi
We provide polynomial completeness results for finite algebras in congruence permutable varieties. In 2001, Idziak and Słomczy{ń}ska introduced the completeness concept of being \e…
On polynomial completeness properties of finite Mal'cev algebras
Bernardo Rossi
Polynomial completeness results aim at characterizing those functions that are induced by polynomials. Each polynomial function is congruence preserving, but the opposite need not…
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…
On the number of universal algebraic geometries
Erhard Aichinger, Bernardo Rossi
The algebraic geometry of a universal algebra is defined as the collection of solution sets of term equations. Two algebras and are calle…
A clonoid based approach to some finiteness results in universal algebraic geometry
Erhard Aichinger, Bernardo Rossi
We prove that for a finite first order structure and a set of first order formulas in its language with certain closure properties, the finitary relations on t…