Geodesic
Codimension growth of algebras with adjoint unit
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 11-26.

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In this paper, numerical characteristics of identities of finite-dimensional nonassociative algebras are studied. Main attention is paid to the question of the change of the PI-exponent after adjoining an external unital element. We construct an example of a four-dimensional simple algebra such that its PI-exponent increases by one after adjoining an external unity. 
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O. E. Bezushchak; A. A. Beljaev; M. V. Zaicev. Codimension growth of algebras with adjoint unit. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 11-26. http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a1/

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