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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 433 - 439 (7page)
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It is well known that an integral domain D is a Dedekind domain if and onlyif D is a Noetherian almost Dedekind domain. In this paper, we show that an integraldomain D is a Dedekind domain if and only if D is an almost Dedekind domain such thatMax(D) is a Noetherian topological space as a subspace of Spec(D) with respect to theZariski topology. We also give a new characterization of ZPI-rings.
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참고문헌 (7)
참고문헌 신청
A. Loper / 2006 / Multiplicative ideal theory in commutative algebra. A tribute to the work of Robert Gilmer / Springer : 276 ~ 292
F. W. Anderson / 1992 / Rings and categories of modules / Springer-Verlag
J. Ohm / 1968 / Ring with Noetherian spectrum / Duke Math. J. 35 : 631 ~ 639
M. Larsen / 1971 / Multiplicative theory of ideals / Academic Press
R. Gilmer / 1962 / Rings in which semi-primary ideals are primary / Pacifie J. Math. 12 : 1273 ~ 1276
F. W. Anderson / 1992 / Rings and categories of modules / Springer-Verlag
J. Ohm / 1968 / Ring with Noetherian spectrum / Duke Math. J. 35 : 631 ~ 639
M. Larsen / 1971 / Multiplicative theory of ideals / Academic Press
R. Gilmer / 1962 / Rings in which semi-primary ideals are primary / Pacifie J. Math. 12 : 1273 ~ 1276
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