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.
초록· 키워드
오류제보하기
Let $(R,\mathfrak{m})$ be a $d$-dimensional Cohen-Macaulay local ring with infinite residue field. Let $I$ be an ideal of $R$ that has analytic spread $\ell(I)=d$, satisfies the $G_d$ condition, the weak Artin-Nagata property $AN_{d-2}^-$ and $\mathfrak{m}$ is not an associated prime of $R/I$. In this paper, we show that if $j_1(I) = \lambda (I/J) +\lambda [R/(J_{d-1} :_{R} I+(J_{d-2} :_{R}I+I) :_{R}{\mathfrak{m}}^{\infty})]+1$, then $I$ has almost minimal $j$-multiplicity, $G(I)$ is Cohen-Macaulay and $r_J(I)$ is at most 2, where $J=(x_1,\ldots,x_d)$ is a general minimal reduction of $I$ and $J_i=(x_1,\ldots,x_i)$. In addition, the last theorem is in the spirit of a result of Sally who has studied the depth of associated graded rings and minimal reductions for $\mathfrak{m}$-primary ideals.
목차
등록된 정보가 없습니다.
참고문헌 (19)
참고문헌 신청
R. Achilles / 1993 / Multiplicity for ideals of maximal analytic spread and intersection theory / J. Math. Kyoto Univ 33(4):1029~1046
R. Achilles / 1997 / Multiplicities of a bigraded ring and intersection theory / Mathematische Annalen 309(4):573~591
Cătălin Ciupercă / 2003 / A numerical characterization of the S2-ification of a Rees algebra / Journal of Pure and Applied Algebra 178(1):25~48
H. Flenner / 1999 / Joins and intersections, Springer Monographs in Mathematics / Springer-Verlag
D. R. Grayson / Macaulay 2, a software system for research in algebraic geometry
R. Achilles / 1997 / Multiplicities of a bigraded ring and intersection theory / Mathematische Annalen 309(4):573~591
Cătălin Ciupercă / 2003 / A numerical characterization of the S2-ification of a Rees algebra / Journal of Pure and Applied Algebra 178(1):25~48
H. Flenner / 1999 / Joins and intersections, Springer Monographs in Mathematics / Springer-Verlag
D. R. Grayson / Macaulay 2, a software system for research in algebraic geometry
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On graded $J$-ideals over graded rings
대한수학회논문집
2023 .04
-
GENERALIZED QUASI-PRIMARY RINGS
Advanced Studies in Contemporary Mathematics
2018 .01
-
Admissible balanced pairs over formal triangular matrix rings
대한수학회보
2021 .11
-
UN rings and group rings
대한수학회보
2023 .01
-
On U-group Rings
대한수학회논문집
2018 .01
-
Rings in which every ideal contained in the set of zero-divisors is a d-ideal
대한수학회논문집
2022 .01
-
Graded Pseudo-Valuation Rings
대한수학회지
2024 .09
-
N-pure ideals and mid rings
대한수학회보
2022 .09
-
On $\eta-$generalized derivations in rings with Jordan involution
대한수학회논문집
2024 .07
-
On Graded 2-Absorbing and GradedWeakly 2-Absorbing Primary Ideals
Kyungpook Mathematical Journal
2017 .01
-
On strongly $1$-absorbing primary ideals of commutative rings
대한수학회보
2020 .01
-
Graded uniformly $pr$-ideals
대한수학회보
2021 .01
-
Elementary matrix reduction over Zabavsky rings
대한수학회보
2016 .01
-
Structures Related to Right Duo Factor Rings
Kyungpook Mathematical Journal
2021 .01
-
On a generalization of right duo rings
대한수학회보
2016 .01
-
On annihilations of ideals in skew monoid rings
대한수학회지
2016 .01
-
On the structure of graded Lie triple systems
대한수학회보
2016 .01
-
ON v-MAROT MORI RINGS AND C-RINGS
대한수학회지
2015 .01
-
Graded ω-Noetherian modules over graded rings
대한수학회보
2020 .01
-
A generalization of symmetric ring property
대한수학회보
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0