[引用][C] Left (N, U)-coherent Dimensions and Excellent Extensions of Rings

刘仲奎 - 收藏, 2004

[引用][C] " Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, People's Republic of China

J ZHAN, TAN ZsoNo - Indian J. pure appl. Math, 2004

[PDF][PDF] n-cocoherent rings, n-cosemihereditary rings and nV-rings

Z ZHU - 2014 - sid.ir
Let R be a ring, and let n, d be non-negative integers. A right R-module M is called (n, d)-
projective if Ext d+ 1 R (M, A)= 0 for every n-copresented right R-module A. R is called right n …

[引用][C] Finitely copresented and cogenerated dimensions

JM Zhan, ZS Tan - INDIAN JOURNAL OF PURE …, 2004 - INDIAN NAT SCI ACAD BAHADUR …

[引用][C] ON THE STRUCTURE OF COMMUTATIVE COHERENT RINGS

C FUCHANG, Z YICAI - Proceedings of the... China-Japan …, 1991 - The Symposium

[引用][C] Resolvents and dimensions of modules and rings

EE Enochs, OMG Jenda - Archiv der Mathematik, 1991 - Springer
If R is left noetherian and M is a left R-module, then we can construct a complex called an
injective resolvent of M using injective precovers. Likewise, if R is left coherent and M is a …

[引用][C] The Excellent Extensions of Rings and Copure Dimensions

B LU - Chinese Quarterly Journal of Mathematics, 2012

On copure projective modules and copure projective dimensions

X Fu, H Zhu, N Ding - Communications in Algebra, 2012 - Taylor & Francis
Let R be any ring. A right R-module M is called n-copure projective if Ext1 (M, N)= 0 for any
right R-module N with fd (N)≤ n, and M is said to be strongly copure projective if Ext i (M, F) …

-Injective and -coherent endomorphism rings of modules

L Mao - Journal of Algebra and Its Applications, 2020 - World Scientific
Let m and n be fixed positive integers. R is called a right (m, n)-injective ring if every right R-
homomorphism from an n-generated submodule of the right R-module R m to R extends to …

On n-coherent rings and (n, d)-injective modules

D Zhang, B Ouyang - Algebra Colloquium, 2015 - World Scientific
Let R be a ring, n, d be fixed non-negative integers, the class of (n, d)-injective left R-
modules, and the class of (n, d)-flat right R-modules. In this paper, we prove that if R is a left …