Multiplicity and Hilbert-Kunz Multiplicity of Monoid Rings
نویسندگان
چکیده
منابع مشابه
On Rings with Small Hilbert{kunz Multiplicity
A result of Watanabe and Yoshida says that an unmixed local ring of positive characteristic is regular if and only if its Hilbert-Kunz multiplicity is one. We show that, for fixed p and d, there exist a number ǫ(d, p) > 0 such that any nonregular unmixed ring R its Hilbert-Kunz multiplicity is at least 1+ ǫ(d, p). We also show that local rings with sufficiently small Hilbert-Kunz multiplicity a...
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Let R be an excellent Noetherian ring of prime characteristic. Consider an arbitrary nested pair of ideals (or more generally, a nested pair of submodules of a fixed finite module). We do not assume that their quotient has finite length. In this paper, we develop various sufficient numerical criteria for when the tight closures of these ideals (or submodules) match. For some of the criteria we ...
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 2002
ISSN: 0387-3870
DOI: 10.3836/tjm/1244208851