里斯短精确序列和前包络线

Pub Date : 2024-08-14 DOI:10.1515/ms-2024-0064

XiaoQin Zhang, HuSheng Qiao, TingTing Zhao

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引用次数: 0

摘要

在本文中，我们考虑了里斯短精确序列交换图的一些性质，还研究了左S行为M的函数- ⊗ M诱导序列的充分必要条件。此外，我们还研究了右 S 行为的里斯短精确序列的𝓔 S 类别中的前包络和前覆盖。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Rees short exact sequences and preenvelopes

In this paper, we consider some properties of commutative diagrams of Rees short exact sequences, and we also investigate the sufficient and necessary condition under which the induced sequences by functors − ⊗ M for the left S-act M. The main conclusions extend some known results. Further, we investigate preenvelopes and precovers in the category 𝓔 S of Rees short exact sequences of right S-acts.

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