[PDF][PDF] On Generalizations of Pseudo-Injectivity

S Baupradist, T Sitthiwirattham… - International Journal of …, 2012 - Citeseer
Let M be a right R-module. A right R-module N is called pseudo-Mc-injective if for any
monomorphism from a closed submodule of M to N can be extended to homomorphism from …

Modules satisfying extension conditions under monomorphism of their closed submodules

TC Quynh, PH Tin - Asian-European Journal of Mathematics, 2012 - World Scientific
A right R-module N is called pseudo M-injective if for any submodule A of M, every
monomorphism from A to N, can be extended to a homomorphism from M to N. Module M is …

[PDF][PDF] Small principally quasi-injective modules

S Wongwai - Int. J. Contemp. Math. Sciences, 2011 - m-hikari.com
Let M be a right R-module. A right R-module N is called small principally M-injective (briefly,
SP-M-injective) if, every R-homomorphism from a small and principal submodule of M to N …

[PDF][PDF] A general form of pseudo-p-injectivity

S Baupradist, HD Hai, NV Sanh - Southeast Asian Bull. Math, 2011 - researchgate.net
In this paper, we introduce a general form of pseudo-p-injectivity. Let be a right-module
and=(), its endomorphism ring. A right-module is called a generalized-pseudo-Mp-injective …

On General Quasi-principally Injective Modules.

Z Zhanmin - Southeast Asian Bulletin of Mathematics, 2006 - search.ebscohost.com
Let R be a ring and M a right R-module with S= end (M< sub> R). Then M is called general
quasi-injective (briefly GQP-injective) if for any 0≠ s∈ S, there exists a positive integer n …

Quasi-pseudo principally injective modules

AK Chaturvedi, BM Pandeya, AJ Gupta - Algebra Colloquium, 2009 - World Scientific
In this paper, the concept of quasi-pseudo principally injective modules is introduced and a
characterization of commutative semi-simple rings is given in terms of quasi-pseudo …

Mc-pseudo injective modules

V Kumar, AJ Gupta, BM Pandeya, MK Patel - East West Math, 2012 - fb.ntt.edu.vn
In this paper we study MC-pseudo injective module which is the generalization of pseudo
injective module and we give an example of MC-pseudo injective module which is not M …

[PDF][PDF] AP-INJECTIVE MODULES

AK Chaturvedi, S Kumar - Palestine Journal of Mathematics, 2023 - pjm.ppu.edu
We introduce the notion of almost pseudo-injective modules (AP-injective modules), which
generalizes the idea of pseudo-injective and almost injective modules. In support, we …

SP-INJECTIVITY OF MODULES AND RINGS

AJ Gupta, BM Pandeya… - Asian-European Journal of …, 2012 - World Scientific
Let> M and N be two R-modules. NR is called singular Mp-injective if for every singular M-
cyclic submodule X of MR, every homomorphism from X to N can be extended to a …

Mutually essentially pseudo-injective modules

TC Quynh, PT Hai, L Van Thuyet - Bulletin of the Malaysian Mathematical …, 2016 - Springer
Let M and N be two modules. M is called essentially pseudo N-injective if for any essential
submodule A of N, any monomorphism f: A → M f: A→ M can be extended to some g ∈ Hom …