Several inequalities regarding sdepth

Details Several inequalities regarding sdepth Several inequalities regarding sdepth

2011-07-18

arxiv.org/abs/1107.3359v1

Mathematics

Commutative Algebra

13 pages

Scientific paper

We give several bounds for $sdepth_S(I+J)$, $sdepth_S(I\cap J)$,
$sdepth_S(S/(I+J))$, $sdepth_S(S/(I\cap J))$, $sdepth_S(I:J)$ and
$sdepth_S(S/(I:J))$ where $I,J\subset S=K[x_1,...,x_n]$ are monomial ideals.
Also, we give several equivalent forms of Stanley Conjecture for $I$ and $S/I$,
where $I\subset S$ is a monomial ideal.

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