Persistence property for some classes of monomial ideals of a polynomial ring
2017 ◽
Vol 16
(06)
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pp. 1750105
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Keyword(s):
Let [Formula: see text] be a field and [Formula: see text] be a polynomial ring in the variables [Formula: see text]. In this paper, we introduce two classes of monomial ideals of [Formula: see text], which have the following properties: (i) The (strong) persistence property of associated prime ideals. (ii) There exists a strongly superficial element. (iii) Ratliff–Rush closed. Next, we characterize these monomial ideals. In the sequel, we give some combinatorial aspects. We conclude this paper with constructing new monomial ideals, which have the persistence property.
2014 ◽
Vol 42
(9)
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pp. 3753-3759
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Keyword(s):
2019 ◽
Vol 18
(05)
◽
pp. 1950093
Keyword(s):
2016 ◽
Vol 36
(1)
◽
pp. 15
Keyword(s):
2010 ◽
Vol 38
(12)
◽
pp. 4416-4429
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