For any commutative ring A, we introduce a generalization of S-artinian rings using a hereditary torsion theory σ instead of a multiplicative closed subset S ⊆ A . It is proved that if A is a total...

中文翻译：

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S-artinian 环和模块对遗传扭转理论设置的扩展

对于任何交换环 A，我们使用遗传扭转理论 σ 而不是乘法闭子集 S ⊆ A 来引入 S-artinian 环的推广。证明如果A是一个总...