Multiplicity for ideals of maximal analytic spread and intersection theory
نویسندگان
چکیده
منابع مشابه
MAXIMAL DIVISORIAL IDEALS AND t-MAXIMAL IDEALS
We give conditions for a maximal divisorial ideal to be t-maximal and show with examples that, even in a completely integrally closed domain, maximal divisorial ideals need not be t-maximal.
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Let fλ be a family of holomorphic functions in the unit disk D ⊂ C, holomorphic in parameter λ ∈ U ⊂ Cn. We estimate the number of zeros of fλ in a smaller disk via some characteristic of the ideal generated by Taylor coefficients of fλ. Our estimate is locally sharp and improve the previous estimate obtained in [RY].
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Let $L$ be a completely regular frame and $mathcal{R}L$ be the ring of real-valued continuous functions on $L$. We consider the set $$mathcal{R}_{infty}L = {varphi in mathcal{R} L : uparrow varphi( dfrac{-1}{n}, dfrac{1}{n}) mbox{ is a compact frame for any $n in mathbb{N}$}}.$$ Suppose that $C_{infty} (X)$ is the family of all functions $f in C(X)$ for which the set ${x in X: |f(x)|geq dfrac{1...
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Let X be a Tychonoff space and A a subalgebra of C(X) containing C∗(X). Suppose that CK(X) is the set of all functions in C(X) with compact support. Kohls has shown that CK(X) is precisely the intersection of all the free ideals in C(X) or in C∗(X). In this paper we have proved the validity of this result for the algebra A. Gillman and Jerison have proved that for a realcompact space X, CK(X) i...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1993
ISSN: 2156-2261
DOI: 10.1215/kjm/1250519127