Special Stanley Decompositions

Details Special Stanley Decompositions Special Stanley Decompositions

2010-08-17

arxiv.org/abs/1008.2924v2

Mathematics

Commutative Algebra

Scientific paper

Let $I$ be an intersection of three monomial prime ideals of a polynomial
algebra $S$ over a field. We give a special Stanley decomposition of $I$ which
provides a lower bound of the Stanley depth of $I$, greater than or equal to
$\depth\ (I)$, that is, Stanley's Conjecture holds for $I$.

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