Ancochea Bermúdez, José MaríaFresán, JavierSánchez Hernández, Jonathan2023-06-202023-06-202007J. M. Ancochea Bermudez, R. Campoamor-Stursberg, L. García Vergnolle, J. Sanchez Hernandez, Contractions d'algebres de Jordan en dimension 2, to appear in Journal of Algebra. F. Diener, G. Reeb. Analyse Non Standard, Hermann, 1989. M. Goze. Etude local de la variete des lois d'algebres de Lie, These d'etat, Mulhouse, 1982. R. Lutz, M. Goze. Non standard analysis. A practical guide with applications. Lect. Notes in Math. 881. Springer-Verlag, 1981. A. Makhlouf. Sur les algebres associatives rigides, These, Mulhouse, 1990. E. Nelson. Internal Set Theory: a new approach to Nonstandard Analysis, Bull. Amer. Math. Soc. 83 (1977), 1165-1198. A. Nijenhuis, R. W. Richardson. Cohomology and deformation of algebraic structures, Bull. Amer. Math. Society 70 (1964), 406-411. A. Robinson. Non standard analysis. North Holland, 1966.1312-7586https://hdl.handle.net/20.500.14352/50553This 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.engjournal articlehttp://www.m-hikari.com/ijcms-password2007/25-28-2007/fresanIJCMS25-28-2007.pdfhttp://www.m-hikari.comopen access512.552associative algebrasrigiditycontractionÁlgebra1201 Álgebra