지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
Let (R;m) be a 2-dimensional regular local ring with algebraically closed residue ¯eld R=m. Let K be the quotient ¯eld of R and v be a prime divisor of R, i.e., a valuation of K which is birationally dominating R and residually transcendental over R.
Zariski showed that there are ¯nitely many simple v-ideals m =
P0 ¾ P1 ¾ ¢ ¢ ¢ ¾ Pt = P and all the other v-ideals are uniquely
factored into a product of those simple ones. It then was also shown
by Lipman that the predecessor of the smallest simple v-ideal P is
either simple (P is free) or the product of two simple v-ideals (P is
satellite), that the sequence of v-ideals between the maximal ideal
and the smallest simple v-ideal P is saturated, and that the v-value
of the maximal ideal is the m-adic order of P. Let m = (x; y) and
denote the v-value di��erence jv(x) ¡ v(y)j by nv. In this paper, if
the m-adic order of P is 2, we show that o(Pi) = 1 for 1 · i · db+1
2 e and o(Pi) = 2 for db+3
2 e · i · t, where b = nv. We also show that nw = nv when w is the prime divisor associated to a simple v-ideal Q ¾ P of order 2 and that w(R) = v(R) as well.
목차
등록된 정보가 없습니다.
참고문헌 (13)
참고문헌 신청
/ 1938 / Polynomial ideals dened by innitely near base points 60 : 151 ~ 204
/ 1956 / On the valuations centered in a local domain 78 : 70 ~ 99
/ 1956 / Zero-dimensional valuation ideals associated with plane curvebranches 6 (3) : 70 ~ 99
/ 1988 / Birational extensions in dimension two and integrallyclosed ideals : 481 ~ 500
/ 1989 / Integrally closed ideals in two-dimensional regular local rings 15 : 325 ~ 337
/ 1956 / On the valuations centered in a local domain 78 : 70 ~ 99
/ 1956 / Zero-dimensional valuation ideals associated with plane curvebranches 6 (3) : 70 ~ 99
/ 1988 / Birational extensions in dimension two and integrallyclosed ideals : 481 ~ 500
/ 1989 / Integrally closed ideals in two-dimensional regular local rings 15 : 325 ~ 337
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Simple valuation ideals of order 3 in two-dimensional regular local rings
대한수학회논문집
2008 .01
-
P-STRONGLY REGULAR NEAR-RINGS
대한수학회논문집
2012 .01
-
A generalized ideal based-zero divisor graphs of near-rings
대한수학회논문집
2009 .01
-
VAGUE p-IDEALS AND VAGUE a-IDEALS IN BCI-ALGEBRAS
충청수학회지
2013 .01
-
More on the 2-prime ideals of commutative rings
대한수학회보
2020 .01
-
Some remarks on the primary ideals of $\Bbb Z_{p^m}[X]$
대한수학회논문집
2006 .01
-
ON THE (n, d)th f-IDEALS
대한수학회지
2015 .01
-
On simple left, right and two-sided ideals of an ordered semigroup having a kernel
대한수학회보
2014 .01
-
Rings with ideal-symmetric ideals
대한수학회보
2017 .01
-
On 2-absorbing primary ideals in commutative rings
대한수학회보
2014 .01
-
An ideal-based zero-divisor graph of 2-primal near-rings
대한수학회보
2009 .01
-
N-IDEALS OF SUBTRACTION ALGEBRAS
대한수학회논문집
2010 .01
-
ON FUZZY k？IDEALS, k？FUZZY IDEALS AND FUZZY 2？PRIME IDEALS IN Γ？SEMIRINGS
Journal of applied mathematics & informatics
2016 .01
-
EXTENSIONS OF FUZZY IDEALS IN NEAR-RINGS
충청수학회지
1997 .01
-
Strongly Prime Ideals and Primal Ideals in Posets
Kyungpook Mathematical Journal
2016 .01
-
Finite Dimension in Associative Rings
Kyungpook Mathematical Journal
2008 .01
-
Fuzzy 2-(0- or 1-)prime ideals in semirings
대한수학회보
2006 .01
-
Generalizations of V-rings
Kyungpook Mathematical Journal
2005 .01
-
One-sided Prime Ideals in Semirings
Kyungpook Mathematical Journal
2007 .01
-
UPPERS TO ZERO IN POLYNOMIAL RINGS WHICH ARE MAXIMAL IDEALS
대한수학회보
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0