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

Noh, Sunsook

doi:10.1090/S0002-9947-1993-1080735-1

The value semigroups of prime divisors of the second kind in $2$-dimensional regular local rings
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Trans. Amer. Math. Soc. 336 (1993), 607-619 Request permission

Abstract:

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

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