Stanley conjecture on intersections of four monomial prime ideals

Details Stanley conjecture on intersections of four monomial prime ideals Stanley conjecture on intersections of four monomial prime ideals

2010-09-28

arxiv.org/abs/1009.5646v3

Mathematics

Commutative Algebra

Scientific paper

We show that the Stanley's Conjecture holds for an intersection of four
monomial prime ideals of a polynomial algebra $S$ over a field and for an
arbitrary intersection of monomial prime ideals $(P_i)_{i\in [s]}$ of $S$ such
that $P_i\not\subset \Sigma_{1=j\not =i}^s P_j$ for all $i\in [s]$.

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