JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (6): 8-14.doi: 10.6040/j.issn.1671-9352.0.2021.413

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The (m,n)-cotorsion dimensions of modules and rings

WANG Ya-li, ZHAO Ren-yu*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2022-06-10

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Abstract: Let m, n be two given positive integers. It is shown that over slightly(m,n)-coherent rings, the(m,n)-cotorsion dimensions of modules and rings share many nice properties as the classical homological dimensions. Some equivalent characterizations that slightly(m,n)-coherent rings are von-Neumann regular rings are given.

Key words: (m,n)-cotorsion dimension, (m,n)-cotorsion envelope, (m,n)-flat cover, slightly(m,n)-coherent ring

CLC Number: 

  • O153.3
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