| Title:
|
The dual notion of prime submodules (English) |
| Author:
|
Yassemi, Siamak |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
273-278 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced. (English) |
| Keyword:
|
prime submodule |
| Keyword:
|
second submodule |
| Keyword:
|
injective and flat module |
| MSC:
|
13C11 |
| MSC:
|
13C13 |
| idZBL:
|
Zbl 1090.13005 |
| idMR:
|
MR1879449 |
| . |
| Date available:
|
2008-06-06T22:29:05Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107804 |
| . |
| Reference:
|
[1] Lu C.-P.: Prime submodules of modules.Comment. Math. Univ. St. Pauli 33 (1984), 61–69. Zbl 0575.13005, MR 0741378 |
| Reference:
|
[2] Lu C.-P.: Spectra of modules.Commun. Algebra 23 (1995), 3741–3752. Zbl 0853.13011, MR 1348262 |
| Reference:
|
[3] MacDonald I.-G.: Secondary representation of modules over a commutative ring.Sympos. Math. XI (1973), 23–43. Zbl 0271.13001, MR 0342506 |
| Reference:
|
[4] Marcelo A., Masque J.: Prime submodules, the descent invariant, and modules of finite length.J. Algebra 189 (1997), 273–293. Zbl 0878.13005, MR 1438177 |
| Reference:
|
[5] Matsumura H.: Commutative ring theory.Cambridge University Press, Cambridge 1986. Zbl 0603.13001, MR 0879273 |
| Reference:
|
[6] McCasland R. L., Smith P. F.: Prime submodules of Noetherian modules.Rocky Mountain J. Math. 23 (1993), 1041–1062. Zbl 0814.16017, MR 1245463 |
| Reference:
|
[7] Rotman J. J.: An introduction to homological algebra.Academic Press, 1979. Zbl 0441.18018, MR 0538169 |
| Reference:
|
[8] Tiras Y., Tercan A., Harmanci A.: Prime modules.Honam Math. J. 18 (1996), 5–15. Zbl 0948.13004, MR 1402357 |
| Reference:
|
[9] Vasconcelos W.: On finitely generated flat modules.Trans. Amer. Math. Soc. 138 (1969), 505–512. Zbl 0238.13011, MR 0238839 |
| Reference:
|
[10] Yassemi S.: Coassociated primes of modules over commutative rings.Math. Scand. 10 (1997), 175–187. MR 1481103 |
| . |
