%0 Journal Article
%A Ancochea Bermúdez, José María
%A Fresán, Javier
%A Sánchez Hernández, Jonathan
%T On the variety of two dimensional real associative algebras
%D 2007
%@ 1312-7586
%U https://hdl.handle.net/20.500.14352/50553
%X This paper consists of a description of the variety of two dimensional associative algebras within the framework of Nonstandard Analysis. By decomposing each algebra in A2 as sum of a Jordan algebra and a Lie algebra, we calculate th isomorphism classes of two dimensional associative algebras over the eld of real numbers and determine the open components and the contractions of the variety.
%~