Ancochea Bermúdez, José MaríaFresán, JavierSánchez Hernández, Jonathan2023-06-202023-06-2020071312-7586https://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