A Note on ⊕-Cofinitely Supplemented Modules
Let R be a ring and M a right R-module. In this note, we show that a quotient of an ⊕-cofinitely supplemented module is not in general ⊕-cofinitely supplemented and prove that if a module M is an ⊕-cofinitely supplemented multiplication module with Rad(M)≪M, then M can be written as an irredundant s...
Saved in:
Main Authors: | Yongduo Wang, Qing Sun |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2007-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2007/10836 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Lattice modules having small cofinite irreducibles
by: E. W. Johnson, et al.
Published: (2001-01-01) -
δ-Small Submodules and δ-Supplemented Modules
by: Yongduo Wang
Published: (2007-01-01) -
Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions
by: Reza Sazeedeh
Published: (2023-01-01) -
On finitely g-supplemented modules
by: Celil Nebiyev, et al.
Published: (2024-01-01) -
Dietary Supplementation with Inulin Modulates the Gut Microbiota and Improves Insulin Sensitivity in Prediabetes
by: Xiaojing Wang, et al.
Published: (2021-01-01)