Geodesic
The dual notion of prime submodules
Archivum mathematicum, Tome 37 (2001) no. 4, pp. 273-278
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In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.
In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.
Classification : 13C11, 13C13
Keywords: prime submodule; second submodule; injective and flat module 
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Yassemi, Siamak. The dual notion of prime submodules. Archivum mathematicum, Tome 37 (2001) no. 4, pp. 273-278. http://geodesic.mathdoc.fr/item/ARM_2001_37_4_a2/

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

[2] Lu C.-P.: Spectra of modules. Commun. Algebra 23 (1995), 3741–3752. | MR | Zbl

[3] MacDonald I.-G.: Secondary representation of modules over a commutative ring. Sympos. Math. XI (1973), 23–43. | MR | Zbl

[4] Marcelo A., Masque J.: Prime submodules, the descent invariant, and modules of finite length. J. Algebra 189 (1997), 273–293. | MR | Zbl

[5] Matsumura H.: Commutative ring theory. Cambridge University Press, Cambridge 1986. | MR | Zbl

[6] McCasland R. L., Smith P. F.: Prime submodules of Noetherian modules. Rocky Mountain J. Math. 23 (1993), 1041–1062. | MR | Zbl

[7] Rotman J. J.: An introduction to homological algebra. Academic Press, 1979. | MR | Zbl

[8] Tiras Y., Tercan A., Harmanci A.: Prime modules. Honam Math. J. 18 (1996), 5–15. | MR | Zbl

[9] Vasconcelos W.: On finitely generated flat modules. Trans. Amer. Math. Soc. 138 (1969), 505–512. | MR | Zbl

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