The dual notion of prime submodules
Yassemi, Siamak
Archivum Mathematicum, Tome 037 (2001), p. 273-278 / Harvested from Czech Digital Mathematics Library

In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.

Publié le : 2001-01-01
Classification:  13C11,  13C13
@article{107804,
     author = {Siamak Yassemi},
     title = {The dual notion of prime submodules},
     journal = {Archivum Mathematicum},
     volume = {037},
     year = {2001},
     pages = {273-278},
     zbl = {1090.13005},
     mrnumber = {1879449},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107804}
}
Yassemi, Siamak. The dual notion of prime submodules. Archivum Mathematicum, Tome 037 (2001) pp. 273-278. http://gdmltest.u-ga.fr/item/107804/

Lu C.-P. Prime submodules of modules, Comment. Math. Univ. St. Pauli 33 (1984), 61–69. (1984) | MR 0741378 | Zbl 0575.13005

Lu C.-P. Spectra of modules, Commun. Algebra 23 (1995), 3741–3752. (1995) | MR 1348262 | Zbl 0853.13011

Macdonald I.-G. Secondary representation of modules over a commutative ring, Sympos. Math. XI (1973), 23–43. (1973) | MR 0342506 | Zbl 0271.13001

Marcelo A.; Masque J. Prime submodules, the descent invariant, and modules of finite length, J. Algebra 189 (1997), 273–293. (1997) | MR 1438177 | Zbl 0878.13005

Matsumura H. Commutative ring theory, Cambridge University Press, Cambridge 1986. (1986) | MR 0879273 | Zbl 0603.13001

Mccasland R. L.; Smith P. F. Prime submodules of Noetherian modules, Rocky Mountain J. Math. 23 (1993), 1041–1062. (1993) | MR 1245463 | Zbl 0814.16017

Rotman J. J. An introduction to homological algebra, Academic Press, 1979. (1979) | MR 0538169 | Zbl 0441.18018

Tiras Y.; Tercan A.; Harmanci A. Prime modules, Honam Math. J. 18 (1996), 5–15. (1996) | MR 1402357 | Zbl 0948.13004

Vasconcelos W. On finitely generated flat modules, Trans. Amer. Math. Soc. 138 (1969), 505–512. (1969) | MR 0238839 | Zbl 0238.13011

Yassemi S. Coassociated primes of modules over commutative rings, Math. Scand. 10 (1997), 175–187. (1997) | MR 1481103