qtag模块的Nice碱基

Q4 Multidisciplinary

Scientific Journal of King Faisal University Pub Date : 2021-01-01 DOI:10.37575/b/sci/210031

Fahad Sikander, Tanveer Fatima, Ayazul Hasan

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引用次数: 0

摘要

如果M的任何同态像的每一个有限生成的子模是泛模的直和，则在具有单位的结合环R上的模M是qtag -模。本文研究了一类具有良好基的qtag -模块。证明了如果H_ω (M)是有界的，则M具有有界的良好基;如果H_ω (M)是单列模的直接和，则M具有良好基。我们还证明了如果M是任意qtag模，则M⊕D有一个很好的基，其中D是H_ω (M)的h可整除壳。

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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Nice Bases of QTAG-Modules

A module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of universal modules. In this paper, we investigate the class of QTAG-modules having nice basis. It is proved that if H_ω (M) is bounded then M has a bounded nice basis and if H_ω (M) is a direct sum of uniserial modules, then M has a nice basis. We also proved that if M is any QTAG-module, then M⊕D has a nice basis, where D is the h-divisible hull of H_ω (M).

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来源期刊

Scientific Journal of King Faisal University Multidisciplinary-Multidisciplinary

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： The scientific Journal of King Faisal University is a biannual refereed scientific journal issued under the guidance of the University Scientific Council. The journal also publishes special and supplementary issues when needed. The first volume was published on 1420H-2000G. The journal publishes two separate issues: Humanities and Management Sciences issue, classified in the Arab Impact Factor index, and Basic and Applied Sciences issue, on June and December, and indexed in (CABI) and (SCOPUS) international databases.