JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (2): 51-57.doi: 10.6040/j.issn.1671-9352.0.2022.054

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n-Frobenius pairs

CHEN Wen-jing, LI Ling   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2023-02-12

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Abstract: The definitions of left(right)n-Frobenius pairs and special left(right)n-Frobenius pairs are introduced. Their properties are studied. The relationship between left(right)n-Frobenius pairs and right(left)n-cotorsion pairs is discussed, and some equivalent characterizations of special left(right)n-Frobenius pairs are given. Finally, some applications of special left(right)n-Frobenius pairs and equivalent characterizations of the left perfect QF ring are given.

Key words: Frobenius pair, n-cotorsion pair, n-Frobenius pair

CLC Number: 

  • O153.3
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[1] REN Ye-fei, LIANG Li. Applications of Frobenius pairs [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(10): 39-43.
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