Additive maps having a generalized derivation expansion
2015 ◽
Vol 14
(04)
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pp. 1550048
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Keyword(s):
Let R be a prime ring with extended centroid C. We prove that an additive map from R into RC + C can be characterized in terms of left and right b-generalized derivations if it has a generalized derivation expansion. As a consequence, a generalization of the Noether–Skolem theorem is proved among other things: A linear map from a finite-dimensional central simple algebra into itself is an elementary operator if it has a generalized derivation expansion.
2010 ◽
Vol 09
(06)
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pp. 921-932
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1980 ◽
Vol 36
(4)
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pp. 483-493
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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)
◽
pp. 625-642
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Keyword(s):
2017 ◽
Vol 154
(2)
◽
pp. 410-458
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Keyword(s):
2018 ◽
Vol 222
(9)
◽
pp. 2773-2783
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