Erhard Aichinger, Bernardo Rossi,
"On the number of universal algebraic geometries"
, in Algebra Universalis, Vol. 84, Seite(n) paper no. 1, 2023, ISSN: 0002-5240
Original Titel:
On the number of universal algebraic geometries
Sprache des Titels:
Englisch
Original Kurzfassung:
The algebraic geometry of a universal algebra A is defined as the collection of solution sets of systems of term equations. Two algebras are called algebraically equivalent if they have the same algebraic geometry. We prove that on a finite set A with |A| > 3 there are countably many algebraically inequivalent Mal?cev algebras and that on a finite set A with |A| > 2 there are continuously many algebraically inequivalent algebras.
Forschungs-