Central Reflexive Rings with an Involution
Received:December 14, 2018  Revised:April 11, 2019
Key Word: $*$-reflexive rings   central $*$-reflexive rings   central $\ast$-semicommutative ring   Dorroh extension  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11601005).
Author NameAffiliation
Beilei GAO School of Mathematics and Physics, Anhui University of Technology, Anhui 243032, P. R. China 
Gaixia WANG School of Mathematics and Physics, Anhui University of Technology, Anhui 243032, P. R. China 
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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 $\ast$-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.
Citation:
DOI:10.3770/j.issn:2095-2651.2020.02.002
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