JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (2): 79-87.doi: 10.6040/j.issn.1671-9352.0.2022.094

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On (n,d)-phantom and (n,d)-Ext-phantom morphisms

ZHANG Chun-xia, TANG Qiang-ling   

  1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
  • Published:2023-02-12

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Abstract: Let n,d be nonnegative integers and n≥1, we introduce the concepts of(n,d)-phantom and(n,d)-Ext-phantom morphisms, and give their some properties. As applications, we obtain some new characterizations of the FPn-flat and FPn-injective dimensions of modules.

Key words: n-coherent ring, (n,d)-Tor-epimorphism, (n,d)-phantom morphism, (n,d)-Ext-monomorphism, (n,d)-Ext-phantom morphism

CLC Number: 

  • O153.3
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