In this paper, we introduce the concept of G-graded uniformly S-Noetherian module as a generalization of uniformly S-Noetherian module and investigate some properties of this new class of modules. Our main aim is to characterize G-graded uniformly S-Noetherian modules in terms of uniformly S-Noetherian modules.

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Graded Uniformly S-Noetherian Modules

  • Ajim Uddin Ansari,
  • Surya Prakash

摘要

In this paper, we introduce the concept of G-graded uniformly S-Noetherian module as a generalization of uniformly S-Noetherian module and investigate some properties of this new class of modules. Our main aim is to characterize G-graded uniformly S-Noetherian modules in terms of uniformly S-Noetherian modules.