Strongly $\mathcal{W}$-Gorenstein Complexes
Received:December 11, 2017  Revised:April 27, 2018
Key Word: strongly $\mathcal{W}$-Gorenstein complex   strongly Gorenstein injective complex   Gorenstein injective module
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11501451) and The Fund for Talent Introduction of Northwest Minzu University (Grant No.xbmuyjrc201406).
 Author Name Affiliation Bo LU College of Mathematics and Computer Science, Northwest Minzu University, Gansu 730030, P. R. China
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The notion of strongly $\mathcal{W}$-Gorenstein complexes is introduced for a self-orthogonal class $\mathcal{W}$ of modules. We obtain a characterization of such complexes and apply to strongly Gorenstein injective complexes.