On n-FI-Injective and n-FI-Flat Modules
Z Gao - Communications in Algebra, 2012 - Taylor & Francis
Let R be a ring, na fixed non-negative integer and ℱℐ n (ℱ n) the class of all left (right) R-
modules of FP-injective (flat) dimension at most n. A left R-module M (resp., right R-module …
modules of FP-injective (flat) dimension at most n. A left R-module M (resp., right R-module …
RD-projective module whose subprojectivity domain is minimal
Y DURĞUN - Hacettepe Journal of Mathematics and Statistics, 2022 - dergipark.org.tr
A p-indigent module is one that is subprojective only to projective modules. An RD-
projective module is subprojective to any torsionfree (and flat) module. An RD-projective …
projective module is subprojective to any torsionfree (and flat) module. An RD-projective …
Relative FI-injective and FI-flat modules
L Duan, B Ouyang - Indian Journal of Pure and Applied Mathematics, 2011 - Springer
Let R be a ring, na fixed nonnegative integer and FP n (F n) the class of all left (right) R-
modules of FP-injective (flat) dimensions at most n. A left R-module M (resp., right R-module …
modules of FP-injective (flat) dimensions at most n. A left R-module M (resp., right R-module …
[PDF][PDF] On generalized PF-rings
H Al-Ezeh - Math. J. Okayama Univ, 1989 - math.okayama-u.ac.jp
Throughout this paper a ring denotes a commutative ring with unity. A ring R is called a PP-
ring if for every a SR, the principal ideal af is a projective R-module. Hirano [4] defined a ring …
ring if for every a SR, the principal ideal af is a projective R-module. Hirano [4] defined a ring …
n-Copure projective modules
Z Gao - Mathematical Notes, 2015 - Springer
Let R be a ring, na fixed nonnegative integer and F n the class of all left R-modules of flat
dimension at most n. A left R-module M is called n-copure projective if Ext R 1 (M, F)= 0 for …
dimension at most n. A left R-module M is called n-copure projective if Ext R 1 (M, F)= 0 for …
Resolutions and dimensions of relative injective modules and relative flat modules
Y Zeng, J Chen - 대한수학회보, 2013 - dbpia.co.kr
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 Ext1 (P, M)= 0 for any (m, n)-presented right R-module P; M is said to be (m, n) …
n)-injective if Ext1 (P, M)= 0 for any (m, n)-presented right R-module P; M is said to be (m, n) …
C -coherent rings, C -semihereditary rings and C -regular rings
Z Zhu - Studia Scientiarum Mathematicarum Hungarica, 2013 - akjournals.com
Let C be a class of some finitely presented left R-modules. A left R-module M is called C-
injective, if Ext R 1 (C, M)= 0 for each C∈ C. A right R-module M is called C-flat, if Tor 1 R …
injective, if Ext R 1 (C, M)= 0 for each C∈ C. A right R-module M is called C-flat, if Tor 1 R …