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
In this paper, the projectivity of finitely generated flat modules of a commutative ring are studied from a topological point of view. Then various interesting results are obtained. For instance, it is shown that if a ring has either finitely many minimal primes or finitely many maximal ideals then every finitely generated flat module over it is projective. It is also shown that if a particular subset of the prime spectrum of a ring satisfies some certain ascending or descending chain conditions, then every finitely generated flat module over this ring is projective. These results generalize some major results in the literature on the projectivity of finitely generated flat modules.
목차
등록된 정보가 없습니다.
참고문헌 (17)
참고문헌 신청
S. H. Cox / 1970 / Rings for Which Certain Flat Modules are Projective / Transactions of the American Mathematical Society 150(1):139~156
S. Endo / 1962 / On at modules over commutative rings / J. Math. Soc. Japan 14:284~291
M. Hochster / 1969 / Prime Ideal Structure in Commutative Rings / Transactions of the American Mathematical Society 142:43~60
S. Jondrup / 1970 / On finitely generated at modules / MATHEMATICA SCANDINAVICA 26:233~240
A. J. de Jong / The stacks project
S. Endo / 1962 / On at modules over commutative rings / J. Math. Soc. Japan 14:284~291
M. Hochster / 1969 / Prime Ideal Structure in Commutative Rings / Transactions of the American Mathematical Society 142:43~60
S. Jondrup / 1970 / On finitely generated at modules / MATHEMATICA SCANDINAVICA 26:233~240
A. J. de Jong / The stacks project
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
MINIMAL PROJECTIVE RESOLUTIONS OF A FINITELY GENERATED MODULE M OVER A NOETHERIAN LOCAL RING (R, 𝔪) AND THE COHOMOLOGIES OF (M, R/𝔪)
호남수학학술지
2018 .01
-
On prime submodules of a finitely generated projective module over a commutative ring
대한수학회논문집
2019 .01
-
On $S$-coherence
대한수학회지
2018 .01
-
When every finitely generated regular ideal is finitely presented
대한수학회논문집
2024 .04
-
A note on minimal prime ideals
대한수학회보
2017 .07
-
Finitely generated $G$-projective modules over PVMDs
대한수학회보
2020 .01
-
Non-finitely based finite involution semigroups with finitely based semigroup reducts
한국수학논문집
2019 .01
-
On the cohomological dimension of finitely generated modules
대한수학회보
2018 .01
-
Rings and modules characterized by opposites of FP-injectivity
대한수학회보
2019 .01
-
A homological characterization of Krull domains
대한수학회보
2018 .01
-
EXACTNESS OF IDEAL TRANSFORMS AND ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES
대한수학회지
2015 .01
-
RINGS WITH VARIATIONS OF FLAT COVERS
호남수학학술지
2019 .01
-
Self-homotopy equivalences of Moore spaces depending on cohomotopy groups
대한수학회지
2019 .01
-
Characterizing $S$-flat modules and $S$-von Neumann regular rings by uniformity
대한수학회보
2022 .05
-
Continuous Shadowing and stability for group actions
대한수학회지
2019 .01
-
ON -EXACT SEQUENCES AND -PROJECTIVE MODULES
대한수학회지
2021 .11
-
Graded ω-Noetherian modules over graded rings
대한수학회보
2020 .01
-
Nonnil-$S$-coherent rings
대한수학회논문집
2024 .01
-
REDUCED MODULES AND STRONGLY REGULAR RINGS
East Asian Mathematical Journal
2017 .01
-
A homological characterization of Pr\"ufer $v$-multiplication rings
대한수학회보
2022 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0