Strongly ω-Gorenstein Modules

We introduce the notion of strongly ω -Gorenstein modules, where ω is a faithfully balanced self-orthogonal module. This gives a common generalization of both Gorenstein projective (injective) modules and ω-Gorenstein modules. We investigate some characterizations of strongly ω -Gorenstein modules. Consequently, some properties under change of rings are obtained.

• Jianmin Xing Wei Shao

• Faithfully balanced self-orthogonal module
• ω-Gorenstein module
• strongly ω-Gorenstein module
• finite generated.

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