JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (2): 1-7.doi: 10.6040/j.issn.1671-9352.0.2022.489

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*-zip rings

Yao WANG1(),Xin LI1,Yanli REN2,*()   

  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
  • Received:2022-09-16 Online:2024-02-20 Published:2024-02-20
  • Contact: Yanli REN E-mail:wangyao@nuist.edu.cn;renyanlisx@163.com

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Abstract:

The concept of *-zip ring is introduced. Some examples of this class rings are given and their extension properties are investigate, prove that (1) Let R be a *-ring, n ∈ N and n≥2, then R is *-zip if and only if Vn(R) is * -zip; (2) Let R be a *-skew Armendariz ring, then R is *-zip if and only if *-skew polynomial ring R[x; *] is *-zip.

Key words: involution, *-zip ring, extension of ring, *-skew polynomial ring

CLC Number: 

  • O153.39
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