RT Journal Article T1 On the variety of two dimensional real associative algebras A1 Ancochea Bermúdez, José María A1 Fresán, Javier A1 Sánchez Hernández, Jonathan AB 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. PB Hikari SN 1312-7586 YR 2007 FD 2007 LK https://hdl.handle.net/20.500.14352/50553 UL https://hdl.handle.net/20.500.14352/50553 LA eng NO Ministerio de Educación y Ciencia DS Docta Complutense RD 6 abr 2025