[HTML][HTML] Equivalence of some homological conditions for ring epimorphisms
A Facchini, Z Nazemian - Journal of Pure and Applied Algebra, 2019 - Elsevier
Abstract Let R⊆ Q be rings such that the inclusion φ: R→ Q is an epimorphism in the
category of rings and Q is flat both as a right and as a left R-module. Assume that F. dim …
category of rings and Q is flat both as a right and as a left R-module. Assume that F. dim …
[PDF][PDF] Endomorphism rings of torsionless modules
JM Zelmanowitz - Journal of Algebra, 1967 - researchgate.net
In a celebrated theorem, AW Goldie determined necessary and sufficient conditions that a
ring have a left quotient ring which is semisimple with minimum condition [4]. Our first main …
ring have a left quotient ring which is semisimple with minimum condition [4]. Our first main …
Subrings of endomorphism rings associated with right minimal morphisms
DK Tütüncü - Communications in Algebra, 2023 - Taylor & Francis
Abstract Let p: M→ N be a right minimal epimorphism. We prove that there exists a ring
isomorphism between two rings END RM (N)/J (END RM (N)) and END RN (M)/J (END RN …
isomorphism between two rings END RM (N)/J (END RM (N)) and END RN (M)/J (END RN …
Indecomposable modules over pure semisimple hereditary rings
NV Dung, JL García - Journal of Algebra, 2012 - Elsevier
If R is a hereditary left artinian ring, then R is left pure semisimple if and only if the family R-
ind of all finitely generated indecomposable left R-modules has a (unique) Ext-injective …
ind of all finitely generated indecomposable left R-modules has a (unique) Ext-injective …
Secondary representation of some modules over a commutative ring
H Ansari-Toroghy - Acta Mathematica Hungarica, 2003 - Springer
Let R be a commutative ring and let M be an R-module with the property that its zero
submodule has a primary decomposition. Let E be an injective R-module with W. Ass R (E) …
submodule has a primary decomposition. Let E be an injective R-module with W. Ass R (E) …
Endomorphism rings and the category of finitely generated projective modules
JL Garcia, M Hernández… - Communications in …, 2000 - Taylor & Francis
Endomorphism rings and the category of finitely generated projective modules Page 1
COMMLTNICATIONS IN ALGEBRA, 28(8), 3837-3 852 (2000) Endomorphism rings and the …
COMMLTNICATIONS IN ALGEBRA, 28(8), 3837-3 852 (2000) Endomorphism rings and the …
Trace ideals and centers of endomorphism rings of modules over commutative rings
H Lindo - Journal of Algebra, 2017 - Elsevier
Let R be a commutative Noetherian ring and M a finitely generated R-module. Under various
hypotheses, it is proved that the center of End R (M) coincides with the endomorphism ring …
hypotheses, it is proved that the center of End R (M) coincides with the endomorphism ring …
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 …
Covers by flat modules and submodules of flat modules
EE Enochs - Journal of Pure and Applied Algebra, 1989 - Elsevier
If R is a right coherent ring, then left R-modules have covers by submodules of flat R-
modules if and only if all injective left R-modules have flat covers. This is the case if R is …
modules if and only if all injective left R-modules have flat covers. This is the case if R is …
Neat-flat modules
E Büyükaşık, Y Durğun - Communications in Algebra, 2016 - Taylor & Francis
Let R be a ring. A right R-module M is said to be neat-flat if the kernel of any epimorphism
Y→ M is neat in Y, ie, the induced map Hom (S, Y)→ Hom (S, M) is surjective for any simple …
Y→ M is neat in Y, ie, the induced map Hom (S, Y)→ Hom (S, M) is surjective for any simple …