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- W2114332511 abstract "Abstract Let B be a submodule of an R -module M . The intersection of all prime (resp. weakly prime) submodules of M containing B is denoted by rad (B) (resp. wrad( B )). A generalisation of 〈 E ( B )〉 denoted by UE ( B ) of M will be introduced. The inclusions 〈 E ( B )〉 ⊆ UE ( B ) ⊆ wrad( B ) ⊆ rad( B ) are motivations for studying the equalities UE ( B ) = wrad( B ) and UE ( B ) = rad( B ) in this paper. It is proved that if R is an arithmetical ring, then UE ( B ) = wrad( B ). In Theorem 2.5, a generalisation of the main result of [ 11 ] is given." @default.
- W2114332511 created "2016-06-24" @default.
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- W2114332511 date "2009-05-01" @default.
- W2114332511 modified "2023-09-24" @default.
- W2114332511 title "RADICAL FORMULA AND WEAKLY PRIME SUBMODULES" @default.
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- W2114332511 doi "https://doi.org/10.1017/s0017089509005072" @default.
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