Geodesic
On Radicals of Submodules of Finitely Generated Modules
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 37-39

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The concept of the M-radical of a submodule B of an R-module A is discussed (R is a commutative ring with identity and A is a unitary fl-module). The M-radical of B is defined as the intersection of all prime submodules of A containing B. The main result of the paper is that if denotes the ideal radical of (B:A), then M-rad B = provided that A is a finitely generated multiplication module. Additionally, it is shown that if A is an arbitrary module, where for some
DOI : 10.4153/CMB-1986-006-7
Mots-clés : 13C99 
McCasland, Roy L.; Moore, Marion E. On Radicals of Submodules of Finitely Generated Modules. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 37-39. doi: 10.4153/CMB-1986-006-7
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     author = {McCasland, Roy L. and Moore, Marion E.},
     title = {On {Radicals} of {Submodules} of {Finitely} {Generated} {Modules}},
     journal = {Canadian mathematical bulletin},
     pages = {37--39},
     year = {1986},
     volume = {29},
     number = {1},
     doi = {10.4153/CMB-1986-006-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-006-7/}
}
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