For modules over group rings we introduce the following numerical parameter. We say that a module A over a ring R has finite r-generator property if each f.g. (finitely generated) R-submodule of A can be generated exactly by r elements and there exists a f.g. R-submodule D of A, which has a minimal generating subset, consisting exactly of r elements. Let FG be the group algebra of a finite group G over a field F. In the present paper modules over the algebra FG having finite generator property are described.

中文翻译：

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具有d -generator属性的某些组环上的模块

对于组环上的模块，我们引入以下数值参数。我们说一个模块甲在环- [R具有有限ř如果每个FG（有限生成） -发电机属性ř的-submodule阿可以准确地通过生成ř元件和存在一个FG ř -submodule d的甲，其具有最小生成子集，正好由r个元素组成。令FG为场F上有限群G的群代数。在目前的论文中，代数FG的模块 描述了具有有限的发电机特性。