投影不变 t-Baer 及相关模块

Pub Date : 2024-04-06 DOI:10.1007/s11253-024-02276-0

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引用次数: 0

摘要

我们研究了投影不变 t 扩展模块和投影不变 t-Baer 模块的概念，并分别将其推广为 π 扩展模块和 t-Baer 模块的概念。研究获得了一些结构性质，并开发了一些应用。研究表明，π-t-扩展模块和π-t-e.Baer 模块是相互连接的。此外，我们还得到了π-t-扩展模块相对于湮没器条件的特性。

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Projection Invariant t-Baer and Related Modules

We study the concepts of projection invariant t-extending modules and projection invariant t-Baer modules, which are generalized to the notions of π-extending and t-Baer modules, respectively. Several structural properties are obtained and some applications are developed. It is shown that the π-t-extending modules and π-t-e. Baer modules are connected with each other. Moreover, we obtain a characterization for π-t-extending modules relative to the annihilator conditions.

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