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The Schröder–Bernstein problem for dual F-Baer modules
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2021-03-26 , DOI: 10.1142/s0219498822501316 Derya Keski̇n Tütüncü 1
中文翻译:
双 F-Baer 模块的 Schröder-Bernstein 问题
更新日期:2021-03-26
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2021-03-26 , DOI: 10.1142/s0219498822501316 Derya Keski̇n Tütüncü 1
Affiliation
In this paper we introduce dual -Baer modules and give a characterization of them. Let be a module and a fully invariant submodule of . is called dual -Baer if for every family of endomorphisms of , is a direct summand of . We prove that is dual -Baer if and only if for some submodule of with dual Baer. We obtain a positive solution for the Schröder–Bernstein problem for certain dual -Baer modules.
中文翻译:
双 F-Baer 模块的 Schröder-Bernstein 问题
在本文中,我们介绍了对偶-Baer 模块并给出它们的特征。让成为一个模块并且的一个完全不变的子模块.被称为双-Baer if 对于每一个自同态家族的,是直接总和. 我们证明是双重的-Baer 当且仅当对于一些子模块的和双贝尔。对于某些对偶,我们获得了 Schröder-Bernstein 问题的正解-贝尔模块。