JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (12): 63-68.doi: 10.6040/j.issn.1671-9352.0.2020.233

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General symmetric rings

QIN Lan-lan1, 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:2020-12-01

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Abstract: In the general ring(not necessarily with 1)category, the concepts of left and right symmetric rings are different. The concept of general symmetric rings in general ring category is introduced and give its characterization, discuss the relationship between general symmetric rings and related rings as well as their ring extensions.

Key words: general symmetric ring, right symmetric ring, Baer ring, p.p.-ring

CLC Number: 

  • O153.3
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[2] WANG Yao, ZHANG Jiu-lin, REN Yan-li. On Ore extensions of nilpotent p.p.-rings and nilpotent Baer rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(04): 76-81.
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