JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (12): 76-80.doi: 10.6040/j.issn.1671-9352.0.2020.156

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Gorenstein(m,n)-injective modules

YANG Qiang, ZHAO Ren-yu   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2020-12-01

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Abstract: The notion of Gorenstein (m,n)-injective left R-modules is introduced as a generalization of (m,n)-injective left R-modules. Some properties of such modules are investigated over strongly left (m,n)-coherent rings, and some equivalent characterizations of left(m,n)-injective rings are given over strongly left (m,n)-coherent rings by using Gorenstein (m,n)-injective left R-modules.

Key words: (m,n)-presented module, (m,n)-injective module, Gorenstein (m,n)-injective module, strongly (m,n)-coherent ring

CLC Number: 

  • O153.3
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