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 R be a ring and n a fixed non-negative integer. T In (resp. T Fn) denotes the class of all right R-modules of FGT-injective dimensions at most n (resp. all left R-modules of FGT-flat dimensions at most n). We prove that, if R is a right ¦-coherent ring, then every right Rmodule has a T In-cover and every left R-module has a T Fn-preenvelope.
A right R-module M is called n-TI-injective in case Ext1(N,M) = 0 for any N ε T In. A left R-module F is said to be n-TI-flat if Tor1(N, F) =0 for any N 2 T In. Some properties of n-TI-injective and n-TI-flat modules and their relations with T In-(pre)covers and T Fn-preenvelopes are also studied.
목차
등록된 정보가 없습니다.
참고문헌 (18)
참고문헌 신청
D. J. Fieldhouse / 1969 / Pure theories / Math. Ann. 184 : 1 ~ 18
E. E. Enochs / 2000 / Relative Homological Algebra / Walter de Gruyter
E. Enochs / 1981 / Injective and flat covers, envelopes and resolvents / Israel J. Math. 39 (3) : 189 ~ 209
F. C. Cheng / 2000 / Homological Dimensions of Rings / Guangxi Normal University Press
F. W. Anderson / 1974 / Rings and Categories of Modules / Springer-Verlag
E. E. Enochs / 2000 / Relative Homological Algebra / Walter de Gruyter
E. Enochs / 1981 / Injective and flat covers, envelopes and resolvents / Israel J. Math. 39 (3) : 189 ~ 209
F. C. Cheng / 2000 / Homological Dimensions of Rings / Guangxi Normal University Press
F. W. Anderson / 1974 / Rings and Categories of Modules / Springer-Verlag
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
MAX-INJECTIVE, MAX-FLAT MODULES AND MAX-COHERENT RINGS
대한수학회보
2010 .01
-
On GI-flat modules and dimensions
대한수학회지
2013 .01
-
Resolutions and dimensions of relative injective modules and relative flat modules
대한수학회보
2013 .01
-
Injective covers over commutative Noetherian rings ofglobal dimension at most two II
대한수학회논문집
2005 .01
-
Nil*-COHERENT RINGS
대한수학회보
2014 .01
-
FOXBY EQUIVALENCE RELATIVE TO C-WEAK INJECTIVE AND C-WEAK FLAT MODULES
대한수학회지
2017 .01
-
Matlis injective modules
대한수학회보
2013 .01
-
INVERSE POLYNOMIAL MODULES INDUCED BY AN R-LINEAR MAP
대한수학회보
2010 .01
-
Homological properties of modules over Ding-Chen rings
대한수학회지
2012 .01
-
Injective modules over w-Noetherian rings, II
대한수학회지
2013 .01
-
Endomorphism Rings of Finite Length Injective Modules
Kyungpook Mathematical Journal
2003 .01
-
ALMOST PRINCIPALLY SMALL INJECTIVE RINGS
대한수학회지
2011 .01
-
Properties of induced inverse polynomial modules over a submonoid
한국수학논문집
2012 .01
-
Gorenstein weak injective modules with respect to a semidualizing bimodule
대한수학회지
2018 .01
-
Localization of Injective modules over ω-Noetherian rings
대한수학회보
2013 .01
-
MC2 Rings
Kyungpook Mathematical Journal
2008 .01
-
Injective property relative to nonsingular exact sequences
대한수학회보
2017 .01
-
A Note on Semi-Projective Modules
Kyungpook Mathematical Journal
2002 .01
-
Rings and modules characterized by opposites of FP-injectivity
대한수학회보
2019 .01
-
When is an endomorphism ring P-coherent?
대한수학회지
2009 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0