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

X Zhang, J Chen, J Zhang - Algebra Colloquium, 2005 - World Scientific
Let R be a ring. For two fixed positive integers m and n, a right R-module M is called (m, n)-
injective in case every right R-homomorphism from an n-generated submodule of Rm to M …

On relative injective modules and relative coherent rings

L Mao, N Ding - Communications in Algebra®, 2006 - Taylor & Francis
Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be (m,
n)-injective if for any (m, n)-presented right R-module P; M is called (m, n)-flat if for any (m, n) …

Relative projective modules and relative injective modules

L Mao, N Ding - Communications in Algebra®, 2006 - Taylor & Francis
Let R be a ring, and n and d fixed non-negative integers. An R-module M is called (n, d)-
injective if Ext d+ 1 R (P, M)= 0 for any n-presented R-module P. M is said to be (n, d) …

On n-Coherent rings

J Chen, N Ding - Communications in Algebra, 1996 - Taylor & Francis
Recently, Costa [4] introduced the concept of n-coherent rings. In this note we shall give
some further properties of n-coherent rings. Let R be a ring and na nonnegative integer …

J-coherent rings

N Ding, Y Li, L Mao - Journal of Algebra and Its Applications, 2009 - World Scientific
Let R be a ring. Recall that a left R-module M is coherent if every finitely generated
submodule of M is finitely presented. R is a left coherent ring if the left R-module RR is …

Some results on coherent rings II

ME Harris - Glasgow Mathematical Journal, 1967 - cambridge.org
According to Bourbaki [1, pp. 62–63, Exercise 11], a left (resp. right) A-module M is said to
be pseudo-coherent if every finitely generated submodule of M is finitely presented, and is …

On n-coherent rings, n-hereditary rings and n-regular rings

Z Zhu - 2011 - sid.ir
ON N-COHERENT RINGS, N-HEREDITARY RINGS AND N-REGULAR RINGS Page 1 Archive
of SID Bulletin of the Iranian Mathematical Society Vol. 37 No. 4 (2011), pp 251-267. ON …

[引用][C] Cofinitely generated and cofinitely related modules

VA Hiremath - Acta Mathematica Hungarica, 1982 - akjournals.com
P. VAMOS [11] has defned and studied'finitely embedded modules' as the dual of'finitely
generated modules'. JANS [4] called them as co finitely generated modules and defined a …

Coherent rings and absolutely pure covers

G Dai, N Ding - Communications in Algebra, 2018 - Taylor & Francis
Full article: Coherent rings and absolutely pure covers Skip to Main Content Taylor and Francis
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Min-flat modules and min-coherent rings

L Mao - Communications in Algebra®, 2007 - Taylor & Francis
Let R be a ring. A left R-module M is said to be min-injective if for any simple left ideal I. A
right R-module N is called min-flat if for any simple left ideal I. R is said to be a left min …