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
Assume that $R$ is a commutative Noetherian ring with non-zero identity, $\mathfrak{a}$ is an ideal of $R$, $X$ is an $R$--module, and $t$ is a non-negative integer. In this paper, we present upper bounds for the injective dimension of $X$ in terms of the injective dimensions of its local cohomology modules and an upper bound for the injective dimension of $\H_\mathfrak{a}^t(X)$ in terms of the injective dimensions of the modules $\H_\mathfrak{a}^i(X)$, $i\not= t$, and that of $X$. As a consequence, we observe that $R$ is Gorenstein whenever $\H^{i}_\mathfrak{a}(R)$ is of finite injective dimension for all $i$.
목차
등록된 정보가 없습니다.
참고문헌 (9)
참고문헌 신청
M. P. Brodmann / 1998 / Local Cohomology: An Algebraic Introduction with Geometric Applications / Cambridge University Press
W. Bruns / 1998 / Cohen-Macaulay Rings / Cambridge University Press
K. Divaani-Aazar / 2005 / On vanishing of generalized local cohomology modules / Algebra Colloq 12(2):213~218
R. Hartshorne / 1968 / Cohomological dimension of algebraic varieties / Ann. of Math. (2) 88:403~450
J. Herzog / 1970 / Komplexe, aufl¨osungen und dualit¨at in der lokalen algebra / Habilitationss-chrift, Universitat Regensburg
W. Bruns / 1998 / Cohen-Macaulay Rings / Cambridge University Press
K. Divaani-Aazar / 2005 / On vanishing of generalized local cohomology modules / Algebra Colloq 12(2):213~218
R. Hartshorne / 1968 / Cohomological dimension of algebraic varieties / Ann. of Math. (2) 88:403~450
J. Herzog / 1970 / Komplexe, aufl¨osungen und dualit¨at in der lokalen algebra / Habilitationss-chrift, Universitat Regensburg
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Gorenstein weak injective modules with respect to a semidualizing bimodule
대한수학회지
2018 .01
-
The homological properties of regular injective modules
대한수학회논문집
2024 .01
-
Injective property relative to nonsingular exact sequences
대한수학회보
2017 .01
-
Ding injective modules over Frobenius extensions
대한수학회보
2021 .01
-
Gorenstein $FP_{n}$-injective modules with respect to a semidualizing bimodule
대한수학회지
2024 .01
-
On the generalized principally injective modules
대한수학회보
2024 .03
-
ON PRIME SUBMODULES OF AN INJECTIVE MODULE OVER A NOETHERIAN RING
호남수학학술지
2018 .01
-
Harmanci injectivity of modules
대한수학회보
2020 .01
-
INJECTIVE HULL OF AN ORE EXTENSION OVER A DIVISION RING
충청수학회지
2019 .01
-
On rings whose essential maximal right ideals are GP-injective
대한수학회논문집
2022 .04
-
On the top local cohomology and formal local cohomology modules
대한수학회보
2023 .01
-
SOME REMARKS ON BOUNDED COHOMOLOGY GROUP OF PRODUCT OF GROUPS
호남수학학술지
2019 .01
-
RELATIVE AND TATE COHOMOLOGY OF DING MODULES AND COMPLEXES
대한수학회지
2015 .01
-
ON SOME GENERALIZATIONS OF CLOSED SUBMODULES
대한수학회보
2015 .01
-
A characterization of prime submodules of an injective module over a Noetherian ring
대한수학회보
2019 .01
-
Some new characterizations of quasi-Frobenius rings by using pure-injectivity
대한수학회보
2020 .01
-
ON DIFFERENT KINDS OF INJECTIVITY OF ACTS
호남수학학술지
2017 .01
-
FOXBY EQUIVALENCE RELATIVE TO C-WEAK INJECTIVE AND C-WEAK FLAT MODULES
대한수학회지
2017 .01
-
On Strongly $FP_n$-Injective Modules
대한수학회보
2024 .09
-
ARTINIANNESS OF LOCAL COHOMOLOGY MODULES
호남수학학술지
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0