Geodesic
Almost primitive elements of free nonassociative (anty)commutative algebras of small rank
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2012), pp. 19-24
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Criteria for homogeneous elements to be almost primitive are obtained and algorithms to recognize homogeneous almost primitive elements are constructed for free nonassociative commutative and anticommutative algebras of rank $1$ and $2$. 
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A. V. Klimakov. Almost primitive elements of free nonassociative (anty)commutative algebras of small rank. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2012), pp. 19-24. http://geodesic.mathdoc.fr/item/VMUMM_2012_5_a3/

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