On commuting additive mappings on semiprime rings
The main purpose of this paper is to describe the structure of a pair of additive mappings that are commuting on a semiprime ring. Furthermore, we prove that the existence of different commuting epimorphisms on a prime ring forces the ring to be commutative. Finally, we characterize additive mappings, which act as homomorphisms or antihomomorphisms on a semiprime ring.
2021 ◽
Vol 39
(4)
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pp. 131-141
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2010 ◽
Vol 2010
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pp. 1-6
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Keyword(s):
2013 ◽
Vol 56
(3)
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pp. 584-592
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Keyword(s):
2017 ◽
Vol 4
(1)
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pp. 1-10