Upgrade of algebraic structure of ring |
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| Authors: | Bing-xue Yao Yu-bin Zhong |
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| Institution: | 1. School of Mathematics Sciences, Liaocheng University, Liaocheng, 252059, P.R.China
2. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, P.R.China
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| Abstract: | In order to construct nonregular power rings, the concept of regular semi-ideal with respect to a subring is introduced. Then
several constructive theorems of HX ring and power ring are established and some examples of non-regular power rings are constructed
which contain some nonregular HX rings. |
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| Keywords: | |
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