JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 1-6.doi: 10.6040/j.issn.1671-9352.0.2014.242

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An example of semicommutative Armendariz ring

MA Jing, GUO Ying, SUN Cheng-xia   

  1. School of Mathematics, Jilin University, Changchun 130012, Jilin, China
  • Received:2014-05-26 Online:2014-10-20 Published:2014-11-10

Abstract: An example of semicommutative Armendariz ring is given. We prove that if R is a reduced ring and α,β,γ are compatible endomorphisms of R, then the subring  of the matrix ring M3(R) is a semicommutative Armendariz ring.

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

CLC Number: 

  • O153.3
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