Central reflexive rings with an involution
Received:December 14, 2018  Revised:March 18, 2019
Key Word: central ?-reflexive rings   ?-reflexive rings   central ?-semicommutative ring   Dorroh extension  
Fund ProjectL:National Natural Science Foundation of China(11601005)
Author NameAffiliationAddress
Beilei Gao AnHui University of Technology 安徽工业大学数理学院应用数学系
Gaixia Wang Anhui University of Technology 
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Abstract:
      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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