JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (2): 6-11.doi: 10.6040/j.issn.1671-9352.0.2015.150

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Power series weak McCoy rings

LI Min1, 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 Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, Jiangsu, China
  • Received:2015-04-07 Online:2016-02-16 Published:2016-03-11

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Abstract: The concept of a power series weak McCoy ring is introduced. It is shown that(1)if every Ri(i∈I) is a power series weak McCoy ring, then ∏i∈IRi is a power series weak McCoy ring;(2)If R is a nil-semicommutative ring, then R［x］ is a power series weak McCoy ring if and only if R is a power series weak McCoy ring;(3)If R is a α-compatible nil-semicommutative ring, then R［x;α］ is a power series weak McCoy ring.

Key words: power series weak McCoy ring, power series weak Armendariz ring, McCoy ring, power series McCoy ring, power series

CLC Number: 

  • O153.3
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