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On the variety of two dimensional real associative algebras

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Ancochea Bermúdez, José María and Fresán, Javier and Sánchez Hernández, Jonathan (2007) On the variety of two dimensional real associative algebras. International Journal of Contemporary Mathematical Sciences, 2 (26). pp. 1293-1305. ISSN 1312-7586

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Official URL: http://www.m-hikari.com/ijcms-password2007/25-28-2007/fresanIJCMS25-28-2007.pdf


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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 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.


Item Type:Article
Uncontrolled Keywords:associative algebras, rigidity, contraction
Subjects:Sciences > Mathematics > Algebra
ID Code:20698
Deposited On:09 Apr 2013 17:55
Last Modified:12 Dec 2018 15:13

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