关于\ -几乎拟人工模

IF 0.5 Q3 MATHEMATICS International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI:10.24330/IEJA.586913
M. Davoudian
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引用次数: 0

摘要

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。
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ON \alpha-ALMOST QUASI ARTINIAN MODULES
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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来源期刊
CiteScore
0.90
自引率
16.70%
发文量
36
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 IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.
期刊最新文献
Computational methods for $t$-spread monomial ideals Normality of Rees algebras of generalized mixed product ideals Strongly J-n-Coherent rings Strongly Graded Modules and Positively Graded Modules which are Unique Factorization Modules The structure of certain unique classes of seminearrings
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