Let  be a monomial almost complete intersection ideal of a polynomial algebra
 be a monomial almost complete intersection ideal of a polynomial algebra  over a field. Then Stanley's Conjecture holds for
 over a field. Then Stanley's Conjecture holds for  and
 and  .
.
 
Key Words: Monomial Ideals, Stanley decompositions, Stanley depth.
2000 Mathematics Subject Classification: Primary: 13C15;
Secondary: 13F20, 13F55, 13P10.
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