Intermediate growth in finitely presented algebras

Kocak D.

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, vol.27, no.4, pp.391-401, 2017 (SCI-Expanded) identifier identifier


For any integer d >= 1, we construct examples of finitely presented associative algebras over a field of characteristic not equal 2 with intermediate growth of type [e(nd/(d+1))]. We produce these examples by computing the growth types of some finitely presented metabelian Lie algebras.