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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2019 Volume 16, Pages 1028–1035 (Mi semr1112)
Mathematical logic, algebra and number theory

On the degree of minimal identity of a finitely generated algebra with a fixed nilpotence index

E. P. Petrov

Altai State University, 61, Lenina ave., Barnaul, 656049, Russia

Abstract: In this paper we find the degree of the minimal identity of a finitely generated nilpotent algebra with fixed number of generators and nilpotence index.

Keywords: generators, identity, nilpotent algebra.

UDC: 512.552.4

MSC: 16R10

Received September 25, 2018, published August 6, 2018

DOI: 10.33048/semi.2019.16.071



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© Steklov Math. Inst. of RAS, 2024