Geodesic
A Four-Dimensional Simple Algebra with Fractional PI-Exponent
Matematičeskie zametki, Tome 95 (2014) no. 4, pp. 538-553

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Numerical characteristics of identities of finite-dimensional nonassociative algebras are studied. The main result is the construction of a four-dimensional simple unitary algebra with fractional PI-exponent strictly smaller than its dimension.
Keywords: finite-dimensional nonassociative algebra, identities of a nonassociative algebra, PI-exponent, fractional PI-exponent. 
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     author = {M. V. Zaicev and D. Repov\v{s}},
     title = {A {Four-Dimensional} {Simple} {Algebra} with {Fractional} {PI-Exponent}},
     journal = {Matemati\v{c}eskie zametki},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_4_a5/}
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M. V. Zaicev; D. Repovš. A Four-Dimensional Simple Algebra with Fractional PI-Exponent. Matematičeskie zametki, Tome 95 (2014) no. 4, pp. 538-553. http://geodesic.mathdoc.fr/item/MZM_2014_95_4_a5/