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arXiv · 1311.5194

Comments on non-commuting variables, n-ary algebras, and first-order differential equations

M. Legare
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Abstract

Use of certain non-commuting variables is considered in first-order differential equations. Superspace variables are discussed within the setting of first-order ordinary differential equations and n-ary algebras. Results on quadratic systems based on non-associative algebras are presented. A system related to a Liénard system associated to an Abel's differential equation of the second kind is given as an example.

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M. Legare. 2013-11-20. Comments on non-commuting variables, n-ary algebras, and first-order differential equations. https://arxiv.org/abs/1311.5194

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