Title: Isomorphism classes of four dimensional nilpotent associative algebras over a field,
Abstract: In this paper we classify the isomorphism classes of four dimensional
nilpotent associative algebras over a field F, studying regular subgroups of
the affine group AGL_4(F). In particular we provide explicit representatives
for such classes when F is a finite field, the real field R or an algebraically
closed field.