JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (8): 32-38.doi: 10.6040/j.issn.1671-9352.0.2021.043

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Some properties of JQ rings

MA Guang-lin1, WANG Yao1, REN Yan-li2*   

  1. 1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China;
    2. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, Jiangsu, China
  • Published:2021-08-09

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Abstract: The concept of JQ rings is introduced. A ring R is called a JQ ring if its Jacobson radical coincides with the set of all quasi regular elements. We give some examples of JQ rings, and discuss the extension properties of JQ rings.

Key words: Jacobson radical, quasi-regular element, ideal extension, Nagata extension, Morita Context ring

CLC Number: 

  • O153.3
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