Rank 1 preservers on the unitary Lie ring
1990 ◽
Vol 49
(3)
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pp. 399-417
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Keyword(s):
Lie Ring
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AbstractThe surjective additive maps on the Lie ring of skew-Hermitian linear transformations on a finite-dimensional vector space over a division ring which preserve the set of rank 1 elements are determined. As an application, maps preserving commuting pairs of transformations are determined.
1985 ◽
Vol 28
(3)
◽
pp. 319-331
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1993 ◽
Vol 45
(2)
◽
pp. 357-368
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2012 ◽
Vol 49
(4)
◽
pp. 549-557
2009 ◽
Vol 12
(17)
◽
pp. 5-11
1982 ◽
Vol 25
(2)
◽
pp. 133-139
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