Original Article
Kyungpook Mathematical Journal 2003; 43(4): 471-480
Published online December 23, 2003
Copyright © Kyungpook Mathematical Journal.
Pointwise Projective Modules and Some Related Modules
Ghasan Naoum-Adil and Zaki Jamil-Zeana
Department of Mathematics, College of Science, University of Baghdad, Jadiryah, Baghdad, Iraq
Let $R$ be a commutative ring with 1, and Let $M$ be a {$R$-module}. $M$ is said to be pointwise projective if for each epimorphism {$alpha:AtoB$}, where $A$ and $B$ are any $R$--modules, and for each homomorphism $eta:MtoB$, then for every $m in M$, there exists a homomorphism $varphi:MtoA$, which may depend on $m$, such that $alphacircvarphi(m)=beta(m)$. Our mean concern in this paper is to study the relations between pwp modules with cancellation modules and their generalization generator modules, multiplication modules and its generalizations.
Keywords: projective module, pointwise projective module, multiplication module, cancellation module