ON α-ALMOST QUASI ARTINIAN MODULES

Year 2019, , 29 - 40, 11.07.2019

Maryam Davoudian

https://doi.org/10.24330/ieja.586913

Abstract

In this article we introduce and study the concepts of \alpha-almost

quasi Artinian and \alpha-quasi Krull modules. Using these concepts we extend

some of the basic results of \alpha-almost Artinian and \alpha-Krull modules to \alpha-

almost quasi Artinian and \alpha-quasi Krull modules. We observe that if M is an

\alpha-quasi Krull module then the quasi Krull dimension of M is either \alpha or \alpha+1.

Keywords

Quasi Krull dimension, quasi Noetherian dimension, -Krull module, -quasi Krull module, -almost Noetherian module

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