JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (8): 59-64.doi: 10.6040/j.issn.1671-9352.0.2019.648

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f-injective modules with respect to semidualizing modules

LAN Kai-yang, LU Bo*   

  1. College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China
  • Published:2020-07-14

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Abstract: Let R be a commutative ring and C a semidualizing R-module. The f-injective modules with respect to a semidualizing R-module C is defined and studied, and it is proved that a homomorphism F→M of R-modules is an injective(f-injective)precover of M if and only if HomR(C,F)→HomR(C,M) is a C-injective(C-f-injective)precover.

Key words: f-injective R-module, semidualizing R-module, precover

CLC Number: 

  • O154.2
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