Nilpotent Inner Derivations of the Skew Elements of Prime Rings With Involution
1991 ◽
Vol 43
(5)
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pp. 1045-1054
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AbstractLet R be a prime ring with invoution *, of characteristic 0, with skew elements K and extended centroid C. Let a ∈ K be such that (ad a)n =0 on K. It is shown that one of the following possibilities holds: (a) R is an order in a 4-dimensional central simple algebra, (b) there is a skew element λ in C such that , (c) * is of the first kind, n ≡ 0 or n ≡ 3 (mod 4), and . Examples are given illustrating (c).
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1990 ◽
Vol 32
(3)
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pp. 371-375
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1981 ◽
Vol 34
(2)
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pp. 356-369
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1999 ◽
Vol 42
(3)
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pp. 401-411
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Keyword(s):
2018 ◽
Vol 2018
(745)
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pp. 41-58
2018 ◽
Vol 17
(12)
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pp. 1850240
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Keyword(s):
1966 ◽
Vol 27
(2)
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pp. 625-642
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