Rings over which flat covers of simple modules are projective

E BÜYÜKAŞIK - Journal of Algebra and its Applications, 2012 - World Scientific
RINGS OVER WHICH FLAT COVERS OF SIMPLE MODULES ARE PROJECTIVE Page 1
Journal of Algebra and Its Applications Vol. 11, No. 3 (2012) 1250046 (7 pages) c© World …

Homological properties of SF rings

A Shamsuddin - Bulletin of the Australian Mathematical Society, 1997 - cambridge.org
Homological properties of SF rings Page 1 BULL. AUSTRAL. MATH. SOC. 16E50 VOL. 55 (1997)
[327-333] HOMOLOGICAL PROPERTIES OF SF RINGS AHMAD SHAMSUDDIN A ring R is …

Almost-flat modules

S Breaz - Czechoslovak Mathematical Journal, 2003 - Springer
Almost-Flat Modules Page 1 Czechoslovak Mathematical Journal, 53 (128) (2003), 479–489
ALMOST-FLAT MODULES ¡£¢¤¡¥¦ §© , Cluj-Napoca (Received June 26, 2000) Abstract …

FPn-injective and FPn-flat modules with respect to a semidualizing bimodule

W Wu, Z Gao - Communications in Algebra, 2022 - Taylor & Francis
Let S and R be rings, SCR be a semidualizing bimodule and n≥ 0 be an integer or n=∞.
We introduce and study C-FP n-injective and C-FP n-flat modules as a common …

Remarks on fp-Injective and fp-Flat Modules

L Mao - Arabian Journal for Science and Engineering, 2011 - Springer
Abstract A left R-module M is said to be fp-injective if, for every monomorphism K→ L with K
and L finitely presented left R-modules, Hom (L, M)→ Hom (K, M) is an epimorphism. A right …

[HTML][HTML] Self-orthogonal modules over coherent rings

Z Huang, G Tang - Journal of Pure and Applied Algebra, 2001 - Elsevier
Let R be a left coherent ring, S any ring and RωS an (R, S)-bimodule. Suppose ωS has an
ultimately closed FP-injective resolution and RωS satisfies the conditions:(1) ωS is finitely …

On some flatness properties over commutative rings

F Cheniour, N Mahdou - Acta Mathematica Hungarica, 2015 - Springer
We study the class of rings in which every P-flat module is flat. In domains this property
characterizes Prüfer domains. We investigate the preservation of this property under …

On flatness and coherence with respect to modules of flat dimension at most one

S Bouchiba, M El-Arabi - arXiv preprint arXiv:2011.03377, 2020 - arxiv.org
This paper introduces and studies homological properties of new classes of modules,
namely, the $\mathcal F_1 $-flat modules and the $\mathcal F_1^{\fp} $-flat modules, where …

Weak n-injective and weak n-fat modules

U Arunachalam, S Raja, S Chelliah… - Czechoslovak …, 2022 - Springer
We introduce and study the concepts of weak n-injective and weak n-flat modules in terms of
super finitely presented modules whose projective dimension is at most n, which generalize …

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 …