Abstract We introduce the notion of strongly G-regular rings, and we observe that most rings that were known to be G-regular are in fact strongly G-regular. This property allows us to describe totally acyclic complexes over tensor product rings in which one of the factors is strongly G-regular and the other factor is Gorenstein.

中文翻译：

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一些张量积环上的强 G 正则性和完全无环复合物

摘要 我们引入了强 G 正则环的概念，并且我们观察到大多数已知为 G 正则环实际上是强 G 正则环。这个性质使我们能够描述张量积环上的完全无环复合物，其中一个因子是强 G 正则的，另一个因子是 Gorenstein。