JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (2): 14-18.doi: 10.6040/j.issn.1671-9352.0.2016.062

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Strongly 2-good Rings

WANG Yao1, ZHOU Yun1, REN Yan-li2 *   

  1. 1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China;
    2. School of Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, China
  • Received:2016-02-14 Online:2017-02-20 Published:2017-01-18

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Abstract: The concept of 2-good rings is proposed. A ring R is called strongly 2-good if for any a∈R, there exist units u1, u2∈R such that a=u1+u2 and u1u2=u2u1. Some examples of strongly 2-good rings are presented and their ring extensions are investigated.

Key words: 2-good ring, ring extension, strongly 2-good ring, unit

CLC Number: 

  • O153.3
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