Research Article

ON α-ALMOST QUASI ARTINIAN MODULES

Volume: 26 Number: 26 July 11, 2019
  • Maryam Davoudian *
EN

ON α-ALMOST QUASI ARTINIAN MODULES

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

References

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  5. M. Davoudian, Dimension of non- finitely generated submodules, Vietnam J. Math., 44 (2016), 817-827.
  6. M. Davoudian, On alpha-quasi short modules, Int. Electron. J. Algebra, 21 (2017), 91-102.
  7. M. Davoudian, Modules satisfying double chain condition on non nitely generated submodules have Krull dimension, Turkish J. Math., 41 (2017), 1570-1578.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Maryam Davoudian * This is me

Publication Date

July 11, 2019

Submission Date

May 21, 2018

Acceptance Date

January 24, 2019

Published in Issue

Year 2019 Volume: 26 Number: 26

APA
Davoudian, M. (2019). ON α-ALMOST QUASI ARTINIAN MODULES. International Electronic Journal of Algebra, 26(26), 29-40. https://doi.org/10.24330/ieja.586913
AMA
1.Davoudian M. ON α-ALMOST QUASI ARTINIAN MODULES. IEJA. 2019;26(26):29-40. doi:10.24330/ieja.586913
Chicago
Davoudian, Maryam. 2019. “ON α-ALMOST QUASI ARTINIAN MODULES”. International Electronic Journal of Algebra 26 (26): 29-40. https://doi.org/10.24330/ieja.586913.
EndNote
Davoudian M (July 1, 2019) ON α-ALMOST QUASI ARTINIAN MODULES. International Electronic Journal of Algebra 26 26 29–40.
IEEE
[1]M. Davoudian, “ON α-ALMOST QUASI ARTINIAN MODULES”, IEJA, vol. 26, no. 26, pp. 29–40, July 2019, doi: 10.24330/ieja.586913.
ISNAD
Davoudian, Maryam. “ON α-ALMOST QUASI ARTINIAN MODULES”. International Electronic Journal of Algebra 26/26 (July 1, 2019): 29-40. https://doi.org/10.24330/ieja.586913.
JAMA
1.Davoudian M. ON α-ALMOST QUASI ARTINIAN MODULES. IEJA. 2019;26:29–40.
MLA
Davoudian, Maryam. “ON α-ALMOST QUASI ARTINIAN MODULES”. International Electronic Journal of Algebra, vol. 26, no. 26, July 2019, pp. 29-40, doi:10.24330/ieja.586913.
Vancouver
1.Maryam Davoudian. ON α-ALMOST QUASI ARTINIAN MODULES. IEJA. 2019 Jul. 1;26(26):29-40. doi:10.24330/ieja.586913