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) …

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 …

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 …

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 …

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 …

Weakly dual automorphism invariant and superfluous cotightness

TC Quynh, MT Koşan, THN Nhan - Communications in Algebra, 2020 - Taylor & Francis
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 …

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 …

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 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< …

[引用][C] Rings and Things and a Fine Array of Twentieth Century Associative Algebra

T Century