Prime submodules of Noetherian modules
RL McCasland, PF Smith - The Rocky Mountain Journal of Mathematics, 1993 - JSTOR
0. Introduction. Let R be a ring. A proper left ideal L of R is prime if, for any elements a and b
in R such that aRb CL, either a€ L or b 6 L. For example, any prime two-sided ideal is a …
in R such that aRb CL, either a€ L or b 6 L. For example, any prime two-sided ideal is a …
On essential extensions of direct sums of either injective or projective modules
For a ring R, there are classical facts that R is right Noetherian if and only if every direct sum
of injective right R-modules is injective, and R is right Noetherian if and only if every …
of injective right R-modules is injective, and R is right Noetherian if and only if every …
n-Flat and n-FP-injective modules
X Yang, Z Liu - Czechoslovak mathematical journal, 2011 - Springer
n-FLAT AND n-FP-INJECTIVE MODULES 1. Introduction We use R-Mod (resp., Mod-R) to
denote the category of all left (resp., right) Page 1 Czechoslovak Mathematical Journal, 61 (136) …
denote the category of all left (resp., right) Page 1 Czechoslovak Mathematical Journal, 61 (136) …
Gorenstein projective and flat complexes over noetherian rings
E Enochs, S Estrada, A Iacob - Mathematische Nachrichten, 2012 - Wiley Online Library
We give sufficient conditions on a class of R‐modules article amssymb empty C in order for
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
On pure-injective modules over pullback rings
S Ebrahimi Atani - Communications in Algebra, 2000 - Taylor & Francis
On pure-injective modules over pullback rings Page 1 COMMUNICATIONS IN ALGEBRA, 28(9),
4037-4069 (2000) ON PURE-INJECTIVE MODULES OVER PULLBACK RINGS Shahabaddin …
4037-4069 (2000) ON PURE-INJECTIVE MODULES OVER PULLBACK RINGS Shahabaddin …
When is a simple ring Noetherian?
D Van Huynh, SK Jain, SR López-Permouth - Journal of algebra, 1996 - Elsevier
A moduleMis known to be a CS-module (or an extending module) if every complement
submodule ofMis a direct summand. It is shown that (i) a simple ringRmust be right …
submodule ofMis a direct summand. It is shown that (i) a simple ringRmust be right …
D3-Modules
M Yousif, I Amin, Y Ibrahim - Communications in Algebra, 2014 - Taylor & Francis
A right R-module M is called a D 3-module, if M 1 and M 2 are direct summands of M with M=
M 1+ M 2, then M 1∩ M 2 is a direct summand of M. Following the work of Bass on projective …
M 1+ M 2, then M 1∩ M 2 is a direct summand of M. Following the work of Bass on projective …
[PDF][PDF] Whitehead property of modules
J Trlifaj - Czechoslovak Mathematical Journal, 1986 - dml.cz
In the present note, we study relations between the structure of associative rings and
extension properties of modules. Let R be an associative ring with unit and R-mod the …
extension properties of modules. Let R be an associative ring with unit and R-mod the …
Lifting modules over right perfect rings
Y Kuratomi, C Chang - Communications in Algebra®, 2007 - Taylor & Francis
A module M is called extending if, for any submodule X of M, there exists a direct summand
of M which contains X as an essential submodule, that is, for any submodule X of M, there …
of M which contains X as an essential submodule, that is, for any submodule X of M, there …
Strongly FP-injective modules
W Li, J Guan, B Ouyang - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT A module M is called strongly FP-injective if Ext i (P, M)= 0 for any finitely
presented module P and all i≥ 1.(Pre) envelopes and (pre) covers by strongly FP-injective …
presented module P and all i≥ 1.(Pre) envelopes and (pre) covers by strongly FP-injective …