JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (12): 85-92.doi: 10.6040/j.issn.1671-9352.0.2014.537

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Gorenstein projective modules and dimensions over triangular matrix ring of order n

ZHU Rong-min, WANG Zhan-ping   

  1. Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2014-11-28 Revised:2015-09-06 Online:2015-12-20 Published:2015-12-23

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Abstract: It is investigated that when the triangular matrix ring T of order n is left Gorenstein, and when a left T-module is Gorenstein projective, and Gorenstein projective dimensions of left T-modules are characterized.

Key words: triangular matrix ring, left Gorenstein ring, Gorenstein projective dimension

CLC Number: 

  • O153.3
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