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Let K be a field and R = K[x1,…,xn] be a polynomial ring in the variables x1,…,xn. In this paper, we introduce two classes of monomial ideals of R, which… Click to show full abstract
Let K be a field and R = K[x1,…,xn] be a polynomial ring in the variables x1,…,xn. In this paper, we introduce two classes of monomial ideals of R, 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.
Keywords:
classes monomial;
persistence property;
polynomial ring;
property classes;
monomial ideals
Journal Title: Journal of Algebra and Its Applications
Year Published: 2017
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Journal Title: Journal of Algebra and Its Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!