ON \alpha-ALMOST QUASI ARTINIAN MODULES

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI:10.24330/IEJA.586913

M. Davoudian

引用次数: 0

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.

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关于\ -几乎拟人工模

本文引入并研究了\ α -几乎拟Artinian模和\ α -拟Krull模的概念。利用这些概念，我们将\ α -almost Artinian和\ α -Krull模的一些基本结果推广到\ α -almost quasi Artinian和\ α -quasi Krull模。我们观察到，如果M是一个\ α -拟Krull模，则M的拟Krull维为\ α或\ α +1。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.