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arXiv · 2209.08519

Centrally endo-AIP Modules

Shiv Kumar·Ashok Ji Gupta
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Abstract

In this paper, we introduce the concept of centrally endo-AIP modules. We call a module M centrally endo-AIP, if the left annihilator of any fully invariant submodule N of M in the endomorphism ring S = End(M) is a centrally s-unital ideal of S. We discuss some properties of centrally endo-AIP modules. We also study the endomorphism ring of centrally endo-AIP modules and characterize quasi-Baer modules in terms of centrally endo-AIP modules

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Shiv Kumar, Ashok Ji Gupta. 2022-09-18. Centrally endo-AIP Modules. https://arxiv.org/abs/2209.08519

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