On the variety of two dimensional real associative algebras

Details On the variety of two dimensional real associative algebras On the variety of two dimensional real associative algebras

2007-07-07

arxiv.org/abs/0707.1076v3

Mathematics

Rings and Algebras

13 pages, 1 figure

Scientific paper

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 A^2 as sum of a Jordan algebra and a Lie algebra, we calculate the isomorphism classes of two dimensional real associative algebras over the field of real numbers and determine the components and the contractions of the variety.

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