ON α-ALMOST QUASI ARTINIAN MODULES

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International Electronic Journal of Algebra
Volume:26 Issue:26
ON α-ALMOST QUASI ARTINIAN MODULES

ON α-ALMOST QUASI ARTINIAN MODULES

Authors : Maryam DAVOUDİAN

Pages : 29-40

Doi:10.24330/ieja.586913

View : 20 | Download : 13

Publication Date : 2019-07-11

Article Type : Research Paper

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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