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arXiv · 0707.1076

On the variety of two dimensional real associative algebras

J. M. Ancochea Bermudez·J. Fresan·J. Sanchez Hernandez
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Abstract

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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J. M. Ancochea Bermudez, J. Fresan, J. Sanchez Hernandez. 2007-10-12. On the variety of two dimensional real associative algebras. https://arxiv.org/abs/0707.1076

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