Part 2. Mathematics and Computer Science

Software implementation of algorithms for working with primitive elements in free non-associative algebras

M. V. Maisuradze

Lomonosov Moscow State University

Abstract: Algorithms for primitive elements are realised (in the system of computer algebra SageMath). In particular, we have calculated the number of primitive elements of free non-associative algebras over finite fields for some cases.

Keywords: free non-associative algebra, primitive element, computer algebra.