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math.AC2004★ 1 cited
On the radical of a monomial ideal
Juergen Herzog, Yukihide Takayama, Naoki Terai
Algebraic and combinatorial properties of a monomial ideal and its radical are compared.
math.AC2004
The depth of powers of an ideal
Juergen Herzog, Takayuki Hibi
We study the limit and initial behavior of the numerical function $f(k)=\depth S/I^k$. General properties of this function together with concrete examples arising from combinatoric…