Projection Invariant t-Baer and Related Modules

IF 0.5 4区数学 Q3 MATHEMATICS

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

引用次数: 0

Abstract

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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投影不变 t-Baer 及相关模块

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。

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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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.