封闭Rickart模块

Ghaleb Ahmed
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引用次数: 2

摘要

设任意环上有恒等和的右模。本文给出了作为rickart模的推广的共闭rickart模。我们说一个模上的共闭子模,如果对于每一个,是的共闭子模。介绍了本文的基本结果,并探讨了这些模块与其他概念之间的联系。
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Coclosed Rickart Modules
Let  be a right module over an arbitrary ring  with identity and  . In this work, the coclosed rickart modules as a generalization of  rickart  modules is given. We say  a module  over   coclosed rickart if for each ,   is a coclosed submodule of  . Basic results over this paper are introduced and connections between these modules and otherwise notions are investigated.
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