JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (12): 49-55.doi: 10.6040/j.issn.1671-9352.0.2020.235

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Some new results of skew triangular matrix rings

YANG Li-na1, 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 Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, Jiangsu, China
  • Published:2020-12-01

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Abstract: Some new ring theoretic properties of the skew triangular matrix rings T(R,n,α) are investigated. It is proved that(1)if α is an endomorphism of a ring R with α(1)=1, then R is a Hermite ring if and only if T(R,n,α) is a Hermite ring;(2)R is right weakly McCoy if and only if T(R,n,α) is right weakly McCoy;(3)if M is a Monoid and α is a rigid endomorphism of R, then R is M-Armendariz if and only if T(R,n,α) is M-Armendariz.

Key words: skew triangular matrix ring, right weakly McCoy ring, M-Armendariz ring

CLC Number: 

  • O153.3
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[1] MA Guang-lin, WANG Yao, REN Yan-li. Some extensions of T-nilpotent rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(12): 68-73.
[2] GENG Dao-hong, WANG Yao, REN Yan-li. α-skew Armendariz rings relative to a monoid [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(2): 1-5.
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