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math.GR2019
On Pro- Identities of Linear Groups
David El-Chai Ben-Ezra, Efim Zelmanov
Let be a free pro- non-abelian group, and let be a commutative Noetherian complete local ring with a maximal ideal such that . In [Zu],…
math.RA2019
On the growth of algebras, semigroups, and hereditary languages
Jason Bell, Efim Zelmanov
We determine the possible functions that can occur, up to asymptotic equivalence, as growth functions of semigroups, hereditary languages, and algebras.