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Let R be a noetherian commutative ring, and F : · · · → F2 → F1 → F0 → 0 a complex of flat R-modules. We prove that if (p) ⊗R F is acyclic for every p ∈ SpecR, then F is acyclic, and H0(F) is R...
PRIME SUBMODULES AND FLAT MODULES
flat and absolutely flat modules generalized principal ideal theorem prime submodules rank of modules
2007/12/11
In this paper, some characterizations of prime submodules in flat modules and, particularly, in free modules are given. Furthermore, the height of prime submodules and some saturated chain of prime su...
