在可数生成的qtag模块上

Algebra Letters Pub Date : 2019-10-22 DOI:10.28919/al/4280
F. Sikander
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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单列模的直和,则在具有单位的结合环上的右模M是qtag -模。本文的主要目的是研究可数生成的qtag -模的直接和,并得到与这些模相关的一些有意义的结果。
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On countably generated QTAG-modules
A right module M over an associative ring with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. The main aim of this paper is to investigate the direct sums of countably generated QTAG-modules and obtain some significant results related to these modules.
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