JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (10): 37-45.doi: 10.6040/j.issn.1671-9352.0.2020.032

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Strongly Ding projective and strongly Ding injective modules over formal triangular matrix rings

ZHAO Yang, ZHANG Wen-hui*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Online:2020-10-20 Published:2020-10-07

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Abstract: Strongly Ding projective and strongly Ding injective modules are investigated over the formal triangular matrix ring T=(A 0U B). It is proved that if both UA and BU have finite flat dimensions, and left T-module (M1M2)φM is strong Ding projective, left A-module M1 is strong Ding projective, φM is a monomorphism, left B-module M2/Im φM is strong Ding projective.

Key words: formal triangular matrix ring, strongly Ding projective module, strongly Ding injective module

CLC Number: 

  • O153.3
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