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Isomorphism classes and automorphisms of locally-complex algebras
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 168-185 Cet article a éte moissonné depuis la source Math-Net.Ru

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Locally-complex algebras, introduced by M. Bresar, P. S̆emrl, and S̆. S̆penko, provide a generalization of Cayley–Dickson algebras to the case of arbitrary dimensions. The paper considers the isomorphic classes of locally-complex algebras and their automorphism groups. As a characterization of the isomorphism classes, a system of cpecific matrix equations is used. This system allows one to derive a few necessary conditions for locally-complex algebras to be isomorphic. Also classifications of locally-complex algebras of dimension three and of their automorphism groups are presented. 
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A. S. Smirnov. Isomorphism classes and automorphisms of locally-complex algebras. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 168-185. http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a10/

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