Tokyo Journal of Mathematics

Upper Bounds for the Arithmetical Ranks of Monomial Ideals

Pietro MONGELLI

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Abstract

We prove some generalization of a lemma by Schmitt and Vogel which yields the arithmetical rank in cases that could not be settled by the existing methods. Our results are based on divisibility conditions and exploit both combinatorial and linear algebraic considerations. They mainly apply to ideals generated by monomials.

Article information

Source
Tokyo J. Math., Volume 35, Number 1 (2012), 23-34.

Dates
First available in Project Euclid: 19 July 2012

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1342701342

Digital Object Identifier
doi:10.3836/tjm/1342701342

Mathematical Reviews number (MathSciNet)
MR2977443

Zentralblatt MATH identifier
1251.13003

Subjects
Primary: 13A15: Ideals; multiplicative ideal theory
Secondary: 13F55: Stanley-Reisner face rings; simplicial complexes [See also 55U10]

Citation

MONGELLI, Pietro. Upper Bounds for the Arithmetical Ranks of Monomial Ideals. Tokyo J. Math. 35 (2012), no. 1, 23--34. doi:10.3836/tjm/1342701342. https://projecteuclid.org/euclid.tjm/1342701342


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References

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