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On Quasi-Primary Submodules
Paper Type  |
Contributed Paper |
Title |
On Quasi-Primary Submodules |
Author |
Shahabaddin E. Atani* and Ahmad Y. Darani |
Email |
ebrahimi@guilan.ac.ir |
|
Abstract:
Let R be a commutative ring with non-zero identity. We define a proper submodule Nof an R -module M to be quasi-primary if rad(N :RM) = P is a prime ideal of R. In this case we also say that N is a P-quasi-primary submodule of M. A number of results concerning quasi-primary submodules are given. For example, we show that over a Prüfer domain of finite character R , every non-zero R-submodule of a module M is the intersection of finite number of quasi-primary submodules with incomparable radicals.
|
|
Start & End Page |
249 - 254 |
Received Date |
2006-01-04 |
Revised Date |
|
Accepted Date |
2006-07-03 |
Full Text |
Download |
Keyword |
quasi-primary, multiplication, secondary |
Volume |
Vol.33 No.3 (SEPTEMBER 2006) |
DOI |
|
Citation |
Atani* S.E. and Darani A.Y., On Quasi-Primary Submodules, Chiang Mai Journal of Science, 2006; 33(3): 249-254. |
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