be a squarefree monomial ideal of a polynomial algebra over a field minimally generated by
, and a set
of monomials of degree
be a squarefree monomial ideal generated in degree
. Suppose that all squarefree monomials of
are some least common multiples of
contains all least common multiples of two of
and Stanley's Conjecture holds for
Key Words: Monomial Ideals, Depth, Stanley depth.
2000 Mathematics Subject Classification: Primary: 13C15;
Secondary: 13F20, 13F55,
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