Journal of Jilin University Science Edition

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A Class of Armendariz and SemicommutativeSubrings of 3×3 Matrix Rings

ZHANG Wanru   

  1. School of Mathematics and Statistics, Hexi University, Zhangye 734000, Gansu Province, China
  • Received:2014-05-13 Online:2015-01-26 Published:2015-01-19
  • Contact: ZHANG Wanru E-mail:zhangwru@163.com

Abstract:

We considered a special subring S3(R) of 3×3 matrix ring M3(R) over a ring R. It is shown that S3(R) is an Armendariz and semicommutative ring if R is a reduced ring with compatible endomorphisms α,β. Our results yield more examples of Armendariz rings and semicommutative rings.

Key words: Armendariz ring, semicommutative ring, reduced ring, compatible endomorphism

CLC Number: 

  • O153.3