Mutually essentially pseudo-injective modules
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 …
submodule A of N, any monomorphism f: A → M f: A→ M can be extended to some g ∈ Hom …
On generalized injective modules and almost injective modules
H Fuchigami, Y Kuratomi, Y Shibata - Journal of Algebra and Its …, 2024 - World Scientific
A module M is called N-almost-invariant for a module N if, for any homomorphism α: F→ E,
either α (N)⊆ M, or there exist nonzero direct summands F′ of F and E′ of E such that α …
either α (N)⊆ M, or there exist nonzero direct summands F′ of F and E′ of E such that α …
[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 …
SP-M-injective) if, every R-homomorphism from a small and principal submodule of M to N …
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 …
monomorphism from A to N, can be extended to a homomorphism from M to N. Module M is …
[PDF][PDF] Pseudo FQ-injective modules
Z Zhanmin - Bulletin of the Malaysian Mathematical Sciences …, 2013 - emis.de
A module MR is called pseudo FQ-injective (or PFQ-injective for short) if every
monomorphism from a finitely generated submodule of M to M extends to an endomorphism …
monomorphism from a finitely generated submodule of M to M extends to an endomorphism …
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 …
characterization of commutative semi-simple rings is given in terms of quasi-pseudo …
[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 …
monomorphism from a closed submodule of M to N can be extended to homomorphism from …
[PDF][PDF] A note on almost injective modules
A Alahmadi, SK Jain - Mathematical Journal of Okayama …, 2009 - ousar.lib.okayama-u.ac.jp
Mathematical Journal of Okayama University Page 1 Mathematical Journal of Okayama
University Volume 51, Issue 1 2009 Article 6 A NOTE ON ALMOST INJECTIVE MODULES …
University Volume 51, Issue 1 2009 Article 6 A NOTE ON ALMOST INJECTIVE MODULES …
[PDF][PDF] On Pseudo-Projective and Essentially Pseudo-Injective Modules
R Jaiswal, PC Bharadway - International Mathematical Forum, 2011 - m-hikari.com
Pseudo injectivity is a generalization of quasi injectivity. In this paper; certain properties of M-
pseudo-injective modules, essentially pseudo injective modules and essentially pseudo …
pseudo-injective modules, essentially pseudo injective modules and essentially pseudo …
[PDF][PDF] Quasi principally injective modules
Quasi Principally Injective Modules Page 1 International Journal of Algebra, Vol. 4, 2010, no.
26, 1255 - 1259 Quasi Principally Injective Modules MK Patel, BM Pandeya, AJ Gupta and V …
26, 1255 - 1259 Quasi Principally Injective Modules MK Patel, BM Pandeya, AJ Gupta and V …