Stanley depth of monomial ideals in three variables

Details Stanley depth of monomial ideals in three variables Stanley depth of monomial ideals in three variables

2008-07-14

arxiv.org/abs/0807.2166v3

Mathematics

Commutative Algebra

9 pages

Scientific paper

We show that $\depth(S/I)=0$ if and only if $\sdepth(S/I)=0$, where $I\subset
S=K[x_1,...,x_n]$ is a monomial ideal. We give an algorithm to compute the
Stanley depth of $S/I$, where $I\subset S=K[x_1,x_2,x_3]$ is a monomial ideal.
Also, we prove that a monomial ideal $I\subset K[x_1,x_2,x_3]$ minimally
generated by three monomials has $\sdepth(I)=2$.

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