On Characteristic Poset and Stanley Decomposition
2014 ◽
Vol 22
(2)
◽
pp. 21-28
AbstractLet J ⊂ I be two monomial ideals such that I/J is Cohen Macaulay. By associating a finite posets $P_{I/J}^g$ to I/J, we show that if I/J is a Stanley ideal then $\widetilde{I/J}$ is also a Stanley ideal, where $\widetilde{I/J}$ is the polarization of I/J. We also give relations between sdepth and fdepth of I/J and $\widetilde{I/J}$
2016 ◽
Vol 15
(05)
◽
pp. 1650089
◽
Keyword(s):
Keyword(s):
2009 ◽
Vol 322
(8)
◽
pp. 2886-2904
◽
Keyword(s):
2001 ◽
Vol 161
(3)
◽
pp. 341-366
◽
2010 ◽
Vol 38
(5)
◽
pp. 1699-1714
◽
Keyword(s):