Abstract
In this note we consider a generalization of the notion of a purely extending modules, defined using y– closed submodules.We show that a ring R is purely y – extending if and only if every cyclic nonsingular R – module is flat. In particular every nonsingular purely y extending ring is principal flat.
The article was added to IASJ on 2013-09-15
543 Total full text downloads since the date of addition
Year |
Total |
Jan |
Feb |
Mar |
Apr |
May |
Jun |
Jul |
Aug |
Sep |
Oct |
Nov |
Dec |
2024 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
2023 |
29 |
1 |
4 |
1 |
3 |
1 |
6 |
|
2 |
4 |
1 |
2 |
4 |
2022 |
63 |
4 |
7 |
6 |
2 |
8 |
2 |
10 |
6 |
6 |
1 |
9 |
2 |
2021 |
55 |
2 |
11 |
1 |
|
5 |
11 |
5 |
6 |
5 |
|
6 |
3 |
2020 |
71 |
10 |
8 |
7 |
10 |
3 |
11 |
4 |
9 |
3 |
2 |
2 |
2 |
2019 |
51 |
|
1 |
4 |
1 |
5 |
1 |
6 |
1 |
13 |
3 |
4 |
12 |
2018 |
47 |
1 |
2 |
1 |
4 |
1 |
13 |
3 |
3 |
9 |
2 |
1 |
7 |
2017 |
32 |
1 |
5 |
1 |
2 |
2 |
|
1 |
9 |
|
2 |
4 |
5 |
2016 |
30 |
|
|
4 |
1 |
1 |
5 |
3 |
6 |
3 |
2 |
3 |
2 |
2015 |
57 |
1 |
7 |
13 |
5 |
5 |
5 |
2 |
4 |
2 |
4 |
8 |
1 |
2014 |
97 |
3 |
3 |
5 |
9 |
5 |
6 |
16 |
3 |
11 |
8 |
9 |
19 |
2013 |
8 |
|
|
|
|
|
|
|
|
2 |
1 |
3 |
2 |
Usage is updated on a monthly basis.