be two square free monomial ideals of a polynomial algebra over a field generated in degree
. Almost always when
contains precisely one variable, the other generators having degrees
, if the Stanley depth of
then the usual depth of
too, that is the Stanley Conjecture holds in these cases.
Key Words: Monomial Ideals, Depth, Stanley depth.
2000 Mathematics Subject Classification: Primary: 13C15;
Secondary: 13F20, 13F55,
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