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Stanley Conjecture on intersection of three monomial primary ideals
Monomial Ideals Stanley decompositions Stanley depth
2011/9/13
Abstract: We show that the Stanley's Conjecture holds for an intersection of three monomial primary ideals of a polynomial algebra S over a field.
On Graded Primary Ideals
Graded rings Graded primary ideals Decomposition of graded ideals
2010/2/26
Let G be a group and R be a G-graded commutative ring, i.e., R = \oplusg \in G Rg and RgRh \subseteq Rgh for all g, h \in G. In this paper, we study the graded primary ideals and graded primary G-deco...
THE COHOMOLOGY OF LINE BUNDLES ON NON-PRIMARY HOPF MANIFOLDS
non-primary Hopf manifold cohomology line bundles Douady sequence
2007/12/10
The purpose of the present paper is to give an elementary method for the computation of the cohomology groups $H^{q}(X,\Omega^{p}_{X}(L)) ,\ (0\leq q\leq n)$ of an n-dimensional non-primary Hopf manif...
Primary Finitely Compactly Packed Modules and S-Avoidance Theorem for Modules
Primary submodules primary compactly packed modules primary finitely compactly packed modules s-prime submodules S-Avoidance Theorem for modules
2010/2/25
In this paper we introduce the concept of primary finitely compactly packed modules, which generalizes the concept of primary compactly packed modules. We first find the conditions that make the prima...
Uniqueness of Primary Decompositions
Primary decomposition normal decomposition prime ideal Left Noetherian ring PI ring
2010/3/1
Uniqueness properties of primary decompositions in modules over non-commutative rings are presented.