Short notes

Homogeneous almost primitive elements of free non-associative (anti-) commutative algebras

A. V. Klimakov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Criteria for homogeneous elements to be almost primitive are obtained in the paper for free nonassociative commutative and anticommutative algebras of any rank.

Key words: free nonassociative commutative algebras, free nonassociative anticommutative algebras, homogeneous elements, primitive elements, almost primitive elements.

UDC: 512.554

Received: 20.02.2013

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2013, 68:6, 299–302

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