JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (3): 33-38.doi: 10.6040/j.issn.1671-9352.0.2022.285

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Strongly V W -Gorenstein complexes

JIA Hong-hui, ZHAO Ren-yu   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2023-03-02

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Abstract: Let V, W be two classes of R-modules. A notion of strongly V W -Gorenstein complexes is introduced. It is shown that if V, W are closed under extensions and finite direct sums, V ⊥V, W ⊥W, V ⊥W and V,W ⊆G(V W ), a complex M is strongly V W -Gorenstein if and only if M is exact and Zn(M)is V W -Gorenstein for all n∈Z. In addition, some interesting corollaries are obtained, which unify and genelize some known results.

Key words: V W -Gorenstein module, strongly V W -Gorenstein complex, W -complex, CE W -complex

CLC Number: 

  • O153.3
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