Central Reflexive Rings with an Involution |
Received:December 14, 2018 Revised:April 11, 2019 |
Key Words:
$*$-reflexive rings central $*$-reflexive rings central $\ast$-semicommutative ring Dorroh extension
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Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11601005). |
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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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