Geodesic
ON THE STANLEY DEPTH AND SIZE OF MONOMIAL IDEALS
Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 705-715

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DOI

Let $\mathbb{K}$ be a field and S = ${\mathbb{K}}$ [x 1, . . ., xn ] be the polynomial ring in n variables over the field $\mathbb{K}$ . For every monomial ideal I ⊂ S, we provide a recursive formula to determine a lower bound for the Stanley depth of S/I. We use this formula to prove the inequality sdepth(S/I) ≥ size(I) for a particular class of monomial ideals. 
FAKHARI, S. A. SEYED. ON THE STANLEY DEPTH AND SIZE OF MONOMIAL IDEALS. Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 705-715. doi: 10.1017/S0017089516000495
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     author = {FAKHARI, S. A. SEYED},
     title = {ON {THE} {STANLEY} {DEPTH} {AND} {SIZE} {OF} {MONOMIAL} {IDEALS}},
     journal = {Glasgow mathematical journal},
     pages = {705--715},
     year = {2017},
     volume = {59},
     number = {3},
     doi = {10.1017/S0017089516000495},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000495/}
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