Onα-almost Artinian modules

Maryam Davoudian, Ahmad Halali, and Nasrin Shirali. "Onα-almost Artinian modules." Open Mathematics 14.1 (2016): 404-413. <http://eudml.org/doc/285813>.

@article{MaryamDavoudian2016,
abstract = {In this article we introduce and study the concept of α-almost Artinian modules. We show that each α-almost Artinian module M is almost Artinian (i.e., every proper homomorphic image of M is Artinian), where α ∈ \{0,1\}. Using this concept we extend some of the basic results of almost Artinian modules to α-almost Artinian modules. Moreover we introduce and study the concept of α-Krull modules. We observe that if M is an α-Krull module then the Krull dimension of M is either α or α + 1.},
author = {Maryam Davoudian, Ahmad Halali, Nasrin Shirali},
journal = {Open Mathematics},
keywords = {Krull dimension; α-Krull module; α-almost Noetherian module; Noetherian dimension; α-short module; $\alpha $-Krull module; $\alpha $-almost Noetherian module; $\alpha $-short module},
language = {eng},
number = {1},
pages = {404-413},
title = {Onα-almost Artinian modules},
url = {http://eudml.org/doc/285813},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Maryam Davoudian
AU - Ahmad Halali
AU - Nasrin Shirali
TI - Onα-almost Artinian modules
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 404
EP - 413
AB - In this article we introduce and study the concept of α-almost Artinian modules. We show that each α-almost Artinian module M is almost Artinian (i.e., every proper homomorphic image of M is Artinian), where α ∈ {0,1}. Using this concept we extend some of the basic results of almost Artinian modules to α-almost Artinian modules. Moreover we introduce and study the concept of α-Krull modules. We observe that if M is an α-Krull module then the Krull dimension of M is either α or α + 1.
LA - eng
KW - Krull dimension; α-Krull module; α-almost Noetherian module; Noetherian dimension; α-short module; $\alpha $-Krull module; $\alpha $-almost Noetherian module; $\alpha $-short module
UR - http://eudml.org/doc/285813
ER -