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.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 45 - 51 (7page)
이용수
초록· 키워드
오류제보하기
A module M is called FI-extending if every fully invariant submodule of M is essential in a direct summand of M. In this work, we define a module M to be generalized FI-extending (GFI-extending) if for any fully invariant submodule N of M, there exists a direct summand D of M such that N ≤ D and that D/N is singular. The classes of FI-extending modules and singular modules are properly contained in the class of GFIextending modules. We first develop basic properties of this newly defined class of modules in the general module setting. Then, the GFI-extending property is shown to carry over to matrix rings. Finally, we show that the class of GFI-extending modules is closed under direct sums but not under direct summands. However, it is proved that direct summands are GFI-extending under certain restrictions.
목차
등록된 정보가 없습니다.
참고문헌 (12)
참고문헌 신청
F. W. Anderson / 1974 / Rings and categories of modules / Springer Verlag
G. F. Birkenmeier / 2002 / Modules in which every Fully Invariant Submodule is essential in a direct summand / Comm. Algebra 30(3):1395~1415
G. F. Birkenmeier / 2007 / When some complement of a submodule is a summand / Comm. Algebra 35:597~611
G. F. Birkenmeier / 2014 / The extending condition relative to sets of submodules / Comm. Algebra 42:764~778
N. V. Dung / 1994 / Extending modules / Longman Scientific and Technical
G. F. Birkenmeier / 2002 / Modules in which every Fully Invariant Submodule is essential in a direct summand / Comm. Algebra 30(3):1395~1415
G. F. Birkenmeier / 2007 / When some complement of a submodule is a summand / Comm. Algebra 35:597~611
G. F. Birkenmeier / 2014 / The extending condition relative to sets of submodules / Comm. Algebra 42:764~778
N. V. Dung / 1994 / Extending modules / Longman Scientific and Technical
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
The π-extending Property via Singular Quotient Submodules
Kyungpook Mathematical Journal
2019 .01
-
Some Properties of Dedekind Modules and Q-modules
Kyungpook Mathematical Journal
2018 .01
-
ON A GENERALIZATION OF ⊕-SUPPLEMENTED MODULES
호남수학학술지
2019 .01
-
ASSOCIATED PRIME SUBMODULES OF A MULTIPLICATION MODULE
호남수학학술지
2017 .01
-
Weak F I-extending Modules with ACC or DCC on Essential Submodules
Kyungpook Mathematical Journal
2021 .01
-
Some Characterizations of Modules via Essentially Small Submodules
Kyungpook Mathematical Journal
2016 .01
-
Sa-supplement submodules
대한수학회보
2021 .01
-
SOME CHARACTERIZATIONS OF DEDEKIND MODULES
충청수학회지
2017 .01
-
Quasi 2-absorbing Submodules
Kyungpook Mathematical Journal
2019 .01
-
MODULES SATISFYING CERTAIN CHAIN CONDITIONS AND THEIR ENDOMORPHISMS
대한수학회보
2015 .01
-
ON S-CLOSED SUBMODULES
대한수학회지
2017 .07
-
Rings and modules which are stable under nilpotents of their injective hulls
대한수학회보
2023 .03
-
Purely Extending Modules and Their Generalizations
Kyungpook Mathematical Journal
2023 .03
-
ON SOME GENERALIZATIONS OF CLOSED SUBMODULES
대한수학회보
2015 .01
-
ON PRIME SUBMODULES OF AN INJECTIVE MODULE OVER A NOETHERIAN RING
호남수학학술지
2018 .01
-
Some Results on delta-Semiperfect Rings and delta-Supplemented Modules
Kyungpook Mathematical Journal
2015 .01
-
A generalization of multiplication modules
대한수학회보
2019 .01
-
Fully prime modules and fully semiprime modules
대한수학회보
2020 .01
-
A decomposition theorem for Utumi and dual-Utumi modules
대한수학회보
2021 .11
-
On prime submodules of a finitely generated projective module over a commutative ring
대한수학회논문집
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0