JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (04): 67-70.doi: 10.6040/j.issn.1671-9352.0.2014.310

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A class of quasi-Armendariz subrings of matrix rings over reduced rings

ZHANG Wan-ru, GUO Jin-sheng   

  1. School of Mathematics and Statistics, Hexi University, Zhangye 734000, Gansu, China
  • Received:2014-07-04 Revised:2014-11-11 Online:2015-04-20 Published:2015-04-17

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Abstract: A class of special quasi-Armendariz subrings Sn(R) of the n×n matrix ring Mn(R) over a reduced ring is investigated. It is shown that Sn(R) is a quasi-Armendariz ring if R is a reduced ring with compatible endomorphisms α2,…,αn.

Key words: quasi-Armendariz rings, compatible endomorphism, reduced rings

CLC Number: 

  • O153.3
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