The value semigroups of prime divisors of the second kind in 2-dimensional regular local rings

Author:

Noh Sunsook

Abstract

In this paper, it is shown that the value semigroup of a prime divisor of the second kind on a 2 2 -dimensional regular local ring is symmetric. Further, a necessary and sufficient condition for two prime divisors of the second kind on a 2 2 -dimensional regular local ring to have the same value semigroup is obtained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference19 articles.

1. On the valuations centered in a local domain;Abhyankar, Shreeram;Amer. J. Math.,1956

2. A. Azevedo, Lecture on plane algebroid curve at Purdue University, 1980

3. Zero-dimensional valuation ideals associated with plane curve branches;Hoskin, M. A.;Proc. London Math. Soc. (3),1956

4. Complete ideals in two-dimensional regular local rings;Huneke, Craig,1989

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