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Pointwise Projective Modules and Some Related Modules
NAOUM-ADIL, GHASAN,JAMIL-ZEANA, ZAKI Department of Mathematics 2003 Kyungpook mathematical journal Vol.43 No.4
Let $\mathcal{R}$ be a commutative ring with 1, and Let M be a (left) R-module. M is said to be pointwise projective if for each epimorphism ${\alpha}:\mathcal{A}{\rightarrow}\mathcal{B}$, where A and $\mathcal{B}$ are any $\mathcal{R}$-modules, and for each homomorphism ${\beta}:\mathcal{M}{\rightarrow}\mathcal{B}$, then for every $m{\in}\mathcal{M}$, there exists a homomorphism ${\varphi}:\mathcal{M}{\rightarrow}\mathcal{A}$, which may depend on m, such that ${\alpha}{\circ}{\varphi}(m)={\beta}(m)$. Our mean concern in this paper is to study the relations between pointwise projectivemodules with cancellation modules and its geeralization.
Mohammad Ali Asaad,Noor Nabilah Sarbini,Arizu Sulaiman,Mohammad Ismail,Ghasan Fahim Huseien,Zaiton Abdul Majid,Pandian Bothi Raja 한국공업화학회 2018 Journal of Industrial and Engineering Chemistry Vol.63 No.-
Influence of novel green Elaeis guineensis (EG) and silver nanoparticles (AgNPs) on the improved corrosion resistance of mild steel against acute acid attack is reported. Such EG/AgNPs were synthesized from palm oil leaf extracts and used as inhibitor with varying contents to inspect the feasibility of modifying the acid (1 M HCl(aq)) mediated anti-corrosion behaviour of mild steel. The structural and morphological properties of the extracted EG/AgNPs inhibitor (in powder form) were determined using TEM, XRD, and EDX analyses. Furthermore, the acid solution exposed mild steel specimens were characterized via FESEM, EDX, AFM, XRD, weight loss, polarization and electrochemical impedance measurements. Mild steel surface was found to adsorb the EG/AgNPs and formed a protective film advantageous for inhibiting the acid attack. Steel specimen incorporated with 10% (v/v) of EG/AgNPs inhibitor revealed maximum inhibition efficiency of 94.1%.