On the radical of a monomial ideal

By Jürgen Herzog, Yukihide Takayama, Naoki Terai. 2004

88 citations recorded by the source corpus.

Abstract.Algebraic and combinatorial properties of a monomial ideal and its radical are compared.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/f59ac758f6757fc4cb9525e24102fdd27cfec744

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Ngô Viêt Trung
2. Nguyên Công Minh
3. Takayuki Hibi
4. Jürgen Herzog
5. Huy Tài Hà
6. Adam Van Tuyl
7. Asia Rauf
8. Naoki Terai

In Computational Theory and Mathematics

1. Ngô Viêt Trung
2. Nguyên Công Minh
3. Takayuki Hibi
4. Jürgen Herzog
5. Huy Tài Hà
6. Asia Rauf
7. Adam Van Tuyl
8. Susan Morey

Citations in the corpus

• The depth of powers of an ideal (2004, background): “A class of ideals whose depth function depthS/I is increasing Note that if I is a squarefree monomial ideal, then depthS/I ≤ depthS/I for all k, see for example [15].”
• Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals (2010, background): “6(ii) previous results on the Cohen-Macaulayness of squarefree monomial ideals such as Reisner’s criterion that I∆ is Cohen-Macaulay if and only if ∆ is Cohen-Macaulay [14] and Eisenbud’s observation that √ I is Cohen-Macaulay if I is Cohen-Macaulay [7].”