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. 72, N 2, 2017. P. 0].

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.

№ 5/2012