3 papers
math.RA2022
Algebras of slowly growing length
Alexander Guterman, Dmitry Kudryavtsev
We investigate the class of finite dimensional not necessary associative algebras that have slowly growing length, that is, for any algebra in this class its length is less than or…
math.RA2022
Steady growth of length function and Malcev algebras
Alexander Guterman, Dmitry Kudryavtsev
We introduce and investigate the algebras of steadily growing length, that is the class of algebras, where the length is bounded by a linear function of the dimension. In particula…
math.RA2022
Values of the length function for nonassociative algebras
Alexander Guterman, Dmitry Kudryavtsev
We study realizable values of the length function for unital possibly nonassociative algebras of a given dimension. To do this we apply the method of characteristic sequences and e…