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Central Reflexive Rings with an Involution

Beilei GAO,Gaixia WANG

Journal of Mathematical Research with Applications(2020)

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摘要
We study the central reflexive properties of rings with an involution.The concept of central *-reflexive rings is introduced and investigated.It is shown that central *-reflexive rings are a generalization of reflexive rings,central reflexive rings and *-reflexive rings.Some characterizations of this class of rings are given.The related ring extensions including trivial extension,Dorroh extension and polynomial extensions are also studied.
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关键词
*-reflexive rings,central *-reflexive rings,central *-semicommutative ring,Dorroh extension
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