On NCS modules and rings

Authors: Fatih Karabacak, Muhammet Tamer Koşan, Trương Công Quỳnh, Đinh Đức Tài, Ozgur Tasdemir,

https://doi.org/10.1080/00927872.2020.1784910

Publisher, magazine: ,

Publication year: 2020

  Lưu        Trích dẫn         Chia sẻ

Abstract

We give some conditions as to when a (finite) direct sum of NCS modules (if no non-zero complement submodule is small) is again NCS, and also provide various conditions to be sufficient for a submodule of an NCS module to be NCS. Some comparisons between QF-rings, GP-injective rings, AGP-rings and NCS rings are investigated.

Tags: Complement submodule, small submodule, CS module, NCS module, ADS-module, QF-ring, p-injective ring, GP-injective ring

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On NCS modules and rings