ASSOCIATIVE NIL-ALGEBRAS OVER FINITE FIELDS
2013 ◽
Vol 23
(08)
◽
pp. 1881-1894
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Keyword(s):
We study the nilpotency degree of a relatively free finitely generated associative algebra with the identity xn = 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.
2021 ◽
Vol 14
(5)
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pp. 547-553
Keyword(s):
2012 ◽
Vol 55
(2)
◽
pp. 418-423
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Keyword(s):
2010 ◽
Vol 06
(03)
◽
pp. 579-586
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Keyword(s):
2003 ◽
Vol 55
(2)
◽
pp. 225-246
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2020 ◽
Vol 31
(03)
◽
pp. 411-419
Keyword(s):
2016 ◽
Vol 12
(06)
◽
pp. 1519-1528