n-Tuple algebras of associative type
We study properties of n -tuple algebras of associative type. We show that the nilpotency of an n -tuple algebra of associative type is determined by the nilpotency of each element. In addition, we characterize the nilpotency of an n -tuple algebra of associative type in terms of the trace function....
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Veröffentlicht in: | Russian mathematics 2008-12, Vol.52 (12), p.28-35 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We study properties of
n
-tuple algebras of associative type. We show that the nilpotency of an
n
-tuple algebra of associative type is determined by the nilpotency of each element. In addition, we characterize the nilpotency of an
n
-tuple algebra of associative type in terms of the trace function. In the final part of the paper, we show that a homogeneously semisimple
n
-tuple algebra of associative type is the direct sum of two-sided ideals each of which is a homogeneously simple
n
-tuple algebra of associative type. |
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ISSN: | 1066-369X 1934-810X |
DOI: | 10.3103/S1066369X08120050 |