论文标题
σ偶RICKART模块
Σ-dual Rickart modules
论文作者
论文摘要
在本文中，我们将σ-rickart模块的概念偶双为σ二旋转式rickart模块。如果M的直接副本的直接总和是双Rickart，则R模块M被认为是σ偶发。我们证明，在noetherian环上的每个相干模块都是σ偶的旋转。我们介绍了强烈的模块的概念，并用强质量的模块来表征σ偶的rickart模块。我们还研究了σ-双rickart模块的某些特性，并找到了与半神经artinian环，常规环半隐形环和FP注射模块的连接。此外，我们研究了σ偶RICKART模块的内态环
In this paper, we dualize the concept of Σ-Rickart modules as Σ-dual Rickart modules. An R-module M is said to be Σ-dual Rickart if the direct sum of arbitrary copies of M is dual Rickart. We prove that each cohereditary module over the Noetherian ring is a Σ-dual Rickart. We introduce the notion of strongly cogenerated modules and characterize Σ-dual Rickart modules in terms of strongly cogenerated modules. We also study some properties of Σ- dual Rickart modules and find connections with semisimple Artinian ring, regular ring semi-hereditary ring and FP-injective module. Further, we study the endomorphism ring of Σ-dual Rickart modules
