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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제5호
- 발행연도
- 2021.9
- 수록면
- 1,239 - 1,260 (22page)
- DOI
- 10.4134/JKMS.j200543
이용수
초록· 키워드
오류제보하기
We study the set of star operations on local Noetherian domains $D$ of dimension $1$ such that the conductor $(D:T)$ (where $T$ is the integral closure of $D$) is equal to the maximal ideal of $D$. We reduce this problem to the study of a class of closure operations (more precisely, multiplicative operations) in a finite extension $k\subseteq B$, where $k$ is a field, and then we study how the cardinality of this set of closures vary as the size of $k$ varies while the structure of $B$ remains fixed.
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참고문헌 (8)
참고문헌 신청
Hyman Bass / 1963 / On the ubiquity of Gorenstein rings / Mathematische Zeitschrift 82(1):8~28
Marco Fontana / 2004 / Star operations and pullbacks / Journal of Algebra 274(1):387~421
William J. Heinzer / 1998 / M-Canonical ideals in integral domains / Communications in Algebra 26(9):3021~3043
Evan Houston / 2011 / Integral Domains Which Admit at Most Two Star Operations / Communications in Algebra 39(5):1907~1921
Evan Houston / 2014 / Integrally Closed Domains with Only Finitely Many Star Operations / Communications in Algebra 42(12):5264~5286
Marco Fontana / 2004 / Star operations and pullbacks / Journal of Algebra 274(1):387~421
William J. Heinzer / 1998 / M-Canonical ideals in integral domains / Communications in Algebra 26(9):3021~3043
Evan Houston / 2011 / Integral Domains Which Admit at Most Two Star Operations / Communications in Algebra 39(5):1907~1921
Evan Houston / 2014 / Integrally Closed Domains with Only Finitely Many Star Operations / Communications in Algebra 42(12):5264~5286
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