1. Strongly $\mathcal {W}$-Gorenstein modules
- Creator:
- Qiao, Husheng and Xie, Zongyang
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- self-orthogonal class, strongly $\mathcal {W}$-Gorenstein module, and $\mathcal {C}$-resolution
- Language:
- English
- Description:
- Let $\mathcal {W}$ be a self-orthogonal class of left $R$-modules. We introduce a class of modules, which is called strongly $\mathcal {W}$-Gorenstein modules, and give some equivalent characterizations of them. Many important classes of modules are included in these modules. It is proved that the class of strongly $\mathcal {W}$-Gorenstein modules is closed under finite direct sums. We also give some sufficient conditions under which the property of strongly $\mathcal {W}$-Gorenstein module can be inherited by its submodules and quotient modules. As applications, many known results are generalized.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public