JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (4): 25-30.doi: 10.6040/j.issn.1671-9352.0.2020.648

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Equivalent characterization of(strong)Kasch triangular matrix ring of order n

CHEN Ling-qiao, TANG Gou-liang, DI Zhen-xing*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2021-04-13

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Abstract: Let T be a triangular matrix ring of order n, where n≥2 is an integer. The explicit forms of maximal ideal and minimal ideal of T, and the equivalent characterizations of T being a semi-local ring and a semi-perfect ring are given. In particular, the equivalent characterizations of left Kasch and strong left Kasch triangular matrix rings of order n are given.

Key words: triangular matrix ring of order n, maximal(minimal)ideal, left Kasch ring, strong left Kasch ring

CLC Number: 

  • O153.3
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