Article
Keywords:
Prime submodule; primary submodule; primary decomposition; Associated primes
Summary:
References:
[1] J. Jenkins and P. F. Smith:
On the prime radical of a module over a commutative ring. Comm. Algebra 20 (12) (1992), 3593–3602.
MR 1191968
[2] C. P. Lu:
Prime submodules of modules. Comm. Math. Univ. Sancti. Pauli 33 (1984), 61–69.
MR 0741378 |
Zbl 0575.13005
[3] C. P. Lu:
$M$-radicals of submodules in modules. Math. Japon. 34 (1989), no. 2, 211–219.
MR 0994584 |
Zbl 0706.13002
[4] C. P. Lu:
$M$-radicals of submodules in modules II. Math. Japon. 35 (1990), no. 5, 991–1001.
MR 1073902 |
Zbl 0719.13001
[5] S. M. George, R. Y. McCasland and P. F. Smith:
A principal ideal theorem analogue for modules over commutative rings. Comm. Algebra 22 (6) (1994), 2083–2099.
MR 1268545
[6] R. Y. McCasland and M. E. Moore:
On radicals of submodules of finitely generated modules. Canad. Math. Bull. 29 (1) (1986).
MR 0824879
[7] R. Y. McCasland and P. F. Smith:
Prime submodules of Noetherian modules. Rocky Mountain J. Math. 23 (1993), no. 3.
MR 1245463
[8] H. Matsumura:
Commutative Ring Theory. Cambridge University Press, 1980.
MR 0879273