On Buchsbaum type modules and the annihilator of certain local cohomology modules
We consider the annihilator of certain local cohomology modules. Moreover, some results on vanishing of these modules will be considered.
Associated primes and primal decomposition of modules over commutative rings
Let R be a commutative ring and let M be an R-module. The aim of this paper is to establish an efficient decomposition of a proper submodule N of M as an intersection of primal submodules. We prove the existence of a canonical primal decomposition, , where the intersection is taken over the isolated components of N that are primal submodules having distinct and incomparable adjoint prime ideals . Using this decomposition, we prove that for ∈ Supp(M/N), the submodule N is an intersection of -primal...
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