Weakly projective and weakly injective modules
SK Jain, SR López-Permouth, K Oshiro… - Canadian Journal of …, 1994 - cambridge.org
A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …
Weakly injective and weakly projective modules versus extending and lifting modules
AABU ALHALAWA, Arwa - Diss. Birzeit University, 2013 - platform.almanhal.com
In this thesis, we will study the relations between weakly injective, weakly projective versus
extending and lifting modules and its generalization. Mainly, we study rings over which …
extending and lifting modules and its generalization. Mainly, we study rings over which …
On qdf modules and qdf rings
M Saleh, JA Johnson - 2004 - fada.birzeit.edu
The purpose of this paper is to further the study of weakly injective and weakly tight modules
a generalization of injective modules. A right R-module M is said to be weakly tight (tight) if …
a generalization of injective modules. A right R-module M is said to be weakly tight (tight) if …
On weak injectivity and weak projectivity
M Saleh, A Abdel-Mohsen - Proceedings of the Mathematics …, 2000 - World Scientific
Given a right R-module M, a module QE arM] is said to be weakly injective in arM] if for every
finitely generated submodule N of the M-injective hull Q, N is contained in a submodule Y of …
finitely generated submodule N of the M-injective hull Q, N is contained in a submodule Y of …
On weakly projective and weakly injective modules
M Saleh - Commentationes Mathematicae Universitatis Carolinae, 2004 - dml.cz
The purpose of this paper is to further the study of weakly injective and weakly projective
modules as a generalization of injective and projective modules. For a locally qfd module …
modules as a generalization of injective and projective modules. For a locally qfd module …
Weakly dual automorphism invariant and superfluous cotightness
The aim of the present paper is to introduce and study the dual concepts of weakly
automorphism invariant modules and essential tightness. These notions are non-trivial …
automorphism invariant modules and essential tightness. These notions are non-trivial …
Countably thick modules
A Abdel-Mohsen, M Saleh - Archivum Mathematicum, 2005 - dml.cz
The purpose of this paper is to further the study of countably thick modules via weak
injectivity. Among others, for some classes ${\mathcal M} $ of modules in $\sigma [M] $ we …
injectivity. Among others, for some classes ${\mathcal M} $ of modules in $\sigma [M] $ we …
Serre class and the direct sums of modules
M Saleh - 2005 - fada.birzeit.edu
The purpose of this paper is to further the study of weakly injective and weakly tight modules
a generalization of injective modules. For a Serre class K of modules, we study when direct …
a generalization of injective modules. For a Serre class K of modules, we study when direct …
A Generalization of Projective Modules.
P Van Minh - Southeast Asian Bulletin of Mathematics, 2004 - search.ebscohost.com
Let M and A be right R-modules. Then, M is called A-Ker projective if there exist projective
modules P< sub> N, P< sub> A and epimorphisms f< sub> N: P< sub> N→ N, g< sub> A: P< …
modules P< sub> N, P< sub> A and epimorphisms f< sub> N: P< sub> N→ N, g< sub> A: P< …