2 papers
math.RA2025
Polynomial invariants for low dimensional algebras
MarÃa Alejandra Alvarez, Artem Lopatin
We classify all two-dimensional simple algebras (which may be non-associative) over an algebraically closed field. For each two-dimensional algebra , we describe a min…
math.RA2025
Novikov algebras in low dimension: identities, images and codimensions
Iritan Ferreira dos Santos, Alexey M. Kuz'min, Artem Lopatin
Polynomial identities of two-dimensional Novikov algebras are studied over the complex field . We determine minimal generating sets for the T-ideals of the polynomial i…