Weak multiplication modules

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Article

Weak multiplication modules. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 529-534

MSC: 13A05, 13C05, 13C13, 13E05 | MR 2000050 | Zbl 1083.13502

Keywords:
prime submodules; weak multiplication modules; rank of modules

Summary:
In this paper we characterize weak multiplication modules.

References:

[1] S. Abu-Saemeh: On dimension of finitely generated modules. Comm. Algebra 23 (1995), 1131–1144. DOI 10.1080/00927879508825270 | MR 1316753

[2] A. Azizi and H. Sharif: On prime submodules. Honam Math. J. 21 (1999), 1–12. MR 1707478

[3] A. Barnard: Multiplication modules. J. Algebra 71 (1981), 174–178. DOI 10.1016/0021-8693(81)90112-5 | MR 0627431 | Zbl 0468.13011

[4] C. P. Lu: Prime submodules of modules. Comment. Math. Univ. St. Paul. 33 (1984), 61–69. MR 0741378 | Zbl 0575.13005

[5] C. P. Lu: Spectra of modules. Comm. Algebra 23 (1995), 3741–3752. DOI 10.1080/00927879508825430 | MR 1348262 | Zbl 0853.13011

[6] R. L. McCasland and M. E. Moore: Prime submodules. Comm. Algebra 20 (1992), 1803–1817. DOI 10.1080/00927879208824432 | MR 1162609

[7] H. Matsumura: Commutative Ring Theory. Cambridge University Press, Cambridge, 1990. MR 0879273

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