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.
이용수
초록· 키워드
오류제보하기
Let $S$ and $R$ be rings and $_SC_R$ a (faithfully) semidualizing bimodule. We introduce and study $C$-weak flat and $C$-weak injective modules as a generalization of $C$-flat and $C$-injective modules (\cite{HW07}) respectively, and use them to provide additional information concerning the important Foxby equivalence between the subclasses of the Auslander class $\mathcal{A}_C(R)$ and that of the Bass class $\mathcal{B}_C(S)$. Then we study the stability of Auslander and Bass classes, which enables us to give some alternative characterizations of the modules in $\mathcal{A}_C(R)$ and $\mathcal{B}_C(S)$. Finally we consider an open question which is closely relative to the main results (\cite{EJL05}), and discuss the relationship between the Bass class $\mathcal{B}_C(S)$ and the class of Gorenstein injective modules.
목차
등록된 정보가 없습니다.
참고문헌 (28)
참고문헌 신청
D. Bennis / 2007 / Strongly Gorenstein projective, injective, and flat modules / J. Pure Appl. Algebra 210 (2) : 437 ~ 445
D. Bennis / 2016 / Relative Gorenstein dimensions / Mediterr. J. Math 13 (1) : 65 ~ 91
D. Bennis / 2016 / Relative projective and injective dimensions / Comm. Algebra 44 (8) : 3383 ~ 3396
D. Bennis / 2016 / When do Foxby classes coincide with modules of finite Gorenstein dimension? / Kyoto J. Math 56 (4) : 785 ~ 802
D. Bravo / 2014 / The stable modules category of a general ring / arXiv:1405.5768v1
D. Bennis / 2016 / Relative Gorenstein dimensions / Mediterr. J. Math 13 (1) : 65 ~ 91
D. Bennis / 2016 / Relative projective and injective dimensions / Comm. Algebra 44 (8) : 3383 ~ 3396
D. Bennis / 2016 / When do Foxby classes coincide with modules of finite Gorenstein dimension? / Kyoto J. Math 56 (4) : 785 ~ 802
D. Bravo / 2014 / The stable modules category of a general ring / arXiv:1405.5768v1
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
-
Gorenstein $FP_{n}$-injective modules with respect to a semidualizing bimodule
대한수학회지
2024 .01
-
Harmanci injectivity of modules
대한수학회보
2020 .01
-
Injective property relative to nonsingular exact sequences
대한수학회보
2017 .01
-
Ding injective modules over Frobenius extensions
대한수학회보
2021 .01
-
Injective dimensions of local cohomology modules
대한수학회보
2017 .07
-
ON PRIME SUBMODULES OF AN INJECTIVE MODULE OVER A NOETHERIAN RING
호남수학학술지
2018 .01
-
On the generalized principally injective modules
대한수학회보
2024 .03
-
On Strongly $FP_n$-Injective Modules
대한수학회보
2024 .09
-
The homological properties of regular injective modules
대한수학회논문집
2024 .01
-
Rings and modules characterized by opposites of FP-injectivity
대한수학회보
2019 .01
-
Strongly Gorenstein $C$-homological modules under change of rings
대한수학회보
2021 .01
-
Gorenstein modules under Frobenius extensions
대한수학회보
2020 .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
-
Rings and modules which are stable under nilpotents of their injective hulls
대한수학회보
2023 .03
-
ON S-CLOSED SUBMODULES
대한수학회지
2017 .07
-
Balance for relative homology with respect to semidualizing modules
대한수학회보
2015 .01
-
Homological properties of semi-Wakamatsu-tilting modules
대한수학회보
2020 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0