Almost primitive elements of free non-associated (anti)commutative algebras of small ranks / A. V. Klimakov. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 5. P. 19-24 [Moscow Univ. Math. Bulletin. Vol. 67, N 5, 2012.].
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.
Key words: free nonassociative commutative algebras, free nonassociative anticommutative algebras, primitive elements, almost primitive elements.