scholarly journals ON \alpha-ALMOST QUASI ARTINIAN MODULES

2019 ◽  
pp. 29-40
Author(s):  
Maryam Davoudian
Keyword(s):  
Artinian Modules

Generalized Co-Cohen–Macaulay and Co-Buchsbaum Modules

2007 ◽  
Vol 14 (02) ◽  
pp. 265-278
Author(s):  
Nguyen Tu Cuong ◽  
Nguyen Thi Dung ◽  
Le Thanh Nhan
Keyword(s):  
Artinian Modules ◽  
Basic Properties ◽  
Local Homology

We study two classes of Artinian modules called co-Buchsbaum modules and generalized co-Cohen–Macaulay modules. Some basic properties and characterizations of these modules in terms of 𝔮-weak co-sequences, co-standard sequences, multiplicity, local homology modules are presented.

A special property in Artinian modules

2017 ◽  
Vol 11 ◽  
pp. 31-34
Author(s):  
Mansooreh Maani-Shirazi
Keyword(s):  
Special Property ◽  
Artinian Modules

Artinian Modules Over a Matrix Ring

2000 ◽  
pp. 101-105 ◽  
Author(s):  
K. I. Pimenov ◽  
A. V. Yakovlev
Keyword(s):  
Matrix Ring ◽  
Artinian Modules

Characterization Theorems of S-Artinian Modules

2021 ◽  
Author(s):  
Mehmet Özen ◽  
OsamaA. Naji ◽  
Unsal Tekir ◽  
Kar Ping Shum
Keyword(s):  
Artinian Modules ◽  
Characterization Theorems

Some properties of Artinian modules and applications

2018 ◽  
Vol 17 (02) ◽  
pp. 1850019
Author(s):  
Tran Nguyen An
Keyword(s):  
Local Ring ◽  
Local Cohomology ◽  
Vanishing Theorem ◽  
Strong Connection ◽  
Artinian Modules ◽  
Local Cohomology Modules ◽  
Artinian Module ◽  
Base Ring ◽  
System Of Parameters ◽  
Cohomology Modules

Let [Formula: see text] be a Noetherian local ring and [Formula: see text] be an Artinian [Formula: see text]-module. Consider the following property for [Formula: see text] : [Formula: see text] In this paper, we study the property (∗) of [Formula: see text] in order to investigate the relation of system of parameters between [Formula: see text] and the ring [Formula: see text]. We also show that the property (∗) of [Formula: see text] has strong connection with the structure of base ring. Some applications to cofinite Artinian module are given. These are generalizations of [N. Abazari and K. Bahmanpour, A note on the Artinian cofinite modules, Comm. Algebra. 42 (2014) 1270–1275; G. Ghasemi, K. Bahmanpour and J. Azami, On the cofiniteness of Artinian local cohomology modules, J. Algebra Appl. 15(4) (2016), Article ID: 1650070, 8 pp.] A generalization of Lichtenbaum–Hartshorne Vanishing Theorem is also given in this paper.

scholarly journals The f-decomposition of Artinian modules over hyperfinite groups

1995 ◽  
Vol 38 (1) ◽  
pp. 117-120 ◽  
Author(s):  
Z. Y. Duan
Keyword(s):  
Abelian Group ◽  
Positive Answer ◽  
Artinian Modules

A ℤG-module A is said to have an f-decomposition if in which A∫ is a ℤG-submodule of A such that each irreducible ℤG-factor of A∫ as an abelian group is finite and the ℤG-submodule A∫ has no finite irreducible ℤG-factors. In this paper, we prove that: if G is a hyperfinite group then any artinian ℤG-module A has an f-decomposition, which gives a positive answer to the question raised by D.I. Zaitzev in 1986.

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