ASSOCIATIVE NIL-ALGEBRAS OVER FINITE FIELDS

Autor(es)

Lopatin, Artem A. ^[1] ; Shestakov, Ivan P. ^[2]

Afiliação do(s) autor(es)

^[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Omsk Branch Fed State Budgetary Sci Estab, OB IM S, Omsk 644043 - Russia

^[2] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 23, n. 8, p. 1881-1894, DEC 2013.
• Citações Web of Science: 1

Resumo

We study the nilpotency degree of a relatively free finitely generated associative algebra with the identity x(n) = 0 over a finite field F with q elements. In the case of q >= n the nilpotency degree is proven to be the same as in the case of an infinite field of the same characteristic. In the case of q = n - 1 it is shown that the nilpotency degree differs from the nilpotency degree for an infinite field of the same characteristic by at most one. The nilpotency degree is explicitly computed for n = 3. (AU)

• Processo FAPESP: 11/51047-1 - Artem Lopatin | Omsk Branch of Institute of Mathematics - Rússia
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional