On Characteristic Poset and Stanley Decomposition of S/I
Let K be a field and S = K[x1,…,xn] be the polynomial ring in n variables. Let I ⊂ S be a monomial ideal such that S/I is Cohen-Macaulay. By associating a finite poset [Formula: see text] to S/I, we show that if S/I is a Stanley ideal then T/Ĩ is also a Stanley ideal, where T = K[x11,…,x1a1,…,xn1,…,xnan] and Ĩ is the polarization of I.
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2011 ◽
Vol 48
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pp. 220-226
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2019 ◽
Vol 19
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pp. 2050201
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2010 ◽
Vol 149
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pp. 229-246
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2016 ◽
Vol 16
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pp. 1750122
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2013 ◽
Vol 12
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pp. 1350018
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