n-Super finitely copresented and n-weak projective modules
M Amini - Journal of Algebra and Related Topics, 2022 - jart.guilan.ac.ir
Let $ R $ be a ring and $ n $ a non-negative integer. In this paper, we first introduce the
concept of $ n $-super finitely copresented $ R $-modules and via these modules, we give a …
concept of $ n $-super finitely copresented $ R $-modules and via these modules, we give a …
[PDF][PDF] f-Projective and f-Injective Modules
G Yuxian - JOURNAL OF MATHEMATICAL RESEARCH AND …, 2008 - academia.edu
Let R be a ring. A right R-module M is called f-projective if Ext1 (M, N)= 0 for any f-injective
right R-module N. We prove that (F-proj, F-inj) is a complete cotorsion theory, where F-proj …
right R-module N. We prove that (F-proj, F-inj) is a complete cotorsion theory, where F-proj …
[PDF][PDF] nX-Projective Modules, nX-Injective Modules, Cotorsion Theories
Y Liu - Int. J. Contemp. Math. Sciences, 2010 - m-hikari.com
nX-Projective Modules, nX-Injective Modules, Cotorsion Theories Page 1 Int. J. Contemp. Math.
Sciences, Vol. 5, 2010, no. 56, 2753 - 2762 n-X-Projective Modules, n-X-Injective Modules …
Sciences, Vol. 5, 2010, no. 56, 2753 - 2762 n-X-Projective Modules, n-X-Injective Modules …
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 …
[PDF][PDF] C-COTORSION MODULES
Z Zhu - Mathematical Reports, 2021 - imar.ro
Recall that a ring R is said to be left coherent [2, 7] if every finitely generated left ideal of R is
finitely presented, a ring R is said to be left semihereditary if every finitely generated left …
finitely presented, a ring R is said to be left semihereditary if every finitely generated left …
Relative copure modules and Foxby equivalence
Z Zhang, J Wei - Communications in Algebra, 2021 - Taylor & Francis
Let R be a commutative ring and C a semidualizing R-module. For a non-negative integer n,
we study a natural generalization of copure injective (flat) modules by introducing the …
we study a natural generalization of copure injective (flat) modules by introducing the …
[PDF][PDF] Weak -injective and weak -fat modules
A Umamaheswaran, R Saravanan… - Czechoslovak …, 2022 - researchgate.net
In this paper, 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 …
modules in terms of super finitely presented modules whose projective dimension is at most …
Some results on n-coherent rings, n-hereditary rings and n-regular rings
Z Zhu - Boletín de la Sociedad Matemática Mexicana, 2018 - Springer
Let R be a ring and n be a positive integer. R is called left n-coherent, if every n-presented
left R-module is (n+ 1)(n+ 1)-presented. A left R-module M is called (n, 0)-injective if Ext …
left R-module is (n+ 1)(n+ 1)-presented. A left R-module M is called (n, 0)-injective if Ext …
The class of weak w-projective modules is a precover
H Kim, L Qiao, F Wang - Bulletin of the Korean Mathematical …, 2022 - koreascience.kr
Let R be a commutative ring with identity. Denote by w𝒫 w the class of weak w-projective R-
modules and by w𝒫 w⊥ the right orthogonal complement of w𝒫 w. It is shown that (w𝒫 w …
modules and by w𝒫 w⊥ the right orthogonal complement of w𝒫 w. It is shown that (w𝒫 w …
Relatively free modules on ring extensions
S Guo, X Wang, Z Yi - Communications in Algebra, 2021 - Taylor & Francis
A ring extension is a ring homomorphism preserving identities. In this paper, we give the
definition of relatively free modules on ring extensions and develop some basic properties of …
definition of relatively free modules on ring extensions and develop some basic properties of …