Secondary representation of some modules over a commutative ring |
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| Authors: | H Ansari-Toroghy |
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| Institution: | (1) Department of Mathematics, Faculty of Science, University of Guilan, P. O. Box 1914, Rasht, Iran |
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| Abstract: | Let R be a commutative ring and let M be an R-module with the property that its zero submodule has a primary decomposition. Let E be an injective R-module with W.Ass
R
(E) = Ass
R
(E) (here W.Ass
R
(E) denotes the set of weakly associated primes of E). Then we will show that Hom
R
(M,E) has a secondary representation and we will specify the set of its attached prime ideals.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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| Keywords: | associated primes attached primes` weakly associated primes |
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