On associative representations of non-associative algebras
2018 ◽
Vol 17
(03)
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pp. 1850051
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We define a notion of associative representation for algebras. We prove the existence of faithful associative representations for any alternative, Mal’cev, and Poisson algebra, and prove analogs of Ado-Iwasawa theorem for each of these cases. We construct also an explicit associative representation of the Cayley–Dickson algebra in the matrix algebra [Formula: see text]
2008 ◽
Vol 51
(2)
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pp. 182-194
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Keyword(s):
2002 ◽
Vol 30
(12)
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pp. 5849-5860
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2002 ◽
Vol 17
(15)
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pp. 2095-2111
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Keyword(s):
1952 ◽
Vol 48
(1)
◽
pp. 110-117
Keyword(s):
2008 ◽
Vol 429
(1)
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pp. 72-78
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2002 ◽
Vol 8
(4)
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pp. 597-609
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1996 ◽
Vol 45
(2)
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pp. 267-288