The aim of this paper is to study the conditions by which a P-prime sub-module can be expressed as a finite intersection or union of P-prime submodules. Also corresponding to dimension and rank of modules, some equiva...The aim of this paper is to study the conditions by which a P-prime sub-module can be expressed as a finite intersection or union of P-prime submodules. Also corresponding to dimension and rank of modules, some equivalent conditions for a ring to be a Dedekind domain are given.展开更多
The thin films of Cu2O are deposited by electrodeposition technique onto indium tin oxide（ITO）-coated glass substrate at different potentials. The precursor is an aqueous solution which contains respectively 0.05 M ...The thin films of Cu2O are deposited by electrodeposition technique onto indium tin oxide（ITO）-coated glass substrate at different potentials. The precursor is an aqueous solution which contains respectively 0.05 M of CuSO4 and citric acid at kept temperature of 60℃ and the applied potential varies within the {-0：4 V,-0：7 V}SCE range. Based on the chronocoulometry（CC） process, the electrochemical, structural and optical parameters are determined. We measured the current as function of potential within the {-0：4 V,-0：7 V} range and the higher current is found to be within the {-0：7 V,-0：3 V} band. The grain sizes are of 12.12 nm and 35.47 nm according to（110） and（221） orientations respectively. The high textural coefficient of 0.943 is recorded for the potential -0：7 V.The transmittance of 72.25 %, within the visible band, is obtained for the as-grown layer at -0：4 V and the band gap is found to be 2.2 e V for the electrodeposition potential of -0：7 V.展开更多
In this paper, some characterizations of prime submodules in flat modules and, particularly, in free modules are given. Furthermore, the height of prime submodules and some saturated chain of prime submodules are also...In this paper, some characterizations of prime submodules in flat modules and, particularly, in free modules are given. Furthermore, the height of prime submodules and some saturated chain of prime submodules are also given.展开更多
文摘The aim of this paper is to study the conditions by which a P-prime sub-module can be expressed as a finite intersection or union of P-prime submodules. Also corresponding to dimension and rank of modules, some equivalent conditions for a ring to be a Dedekind domain are given.
基金Project supported the PNR (Nos. 8/U311/R77, U311/R81)the "Agencethematique de rechercheen science ettechnologie" (ATRST)+2 种基金the National Administration of Scientific Researchthe CNEPRU of Oran University of Sciences and Technology (No. B00L02UN310220130011)the Scientific Research Projects Coordination (Nos. 2012-01-01-KAP05, 2012-01-01-KAP06) Yildiz Technical University
文摘The thin films of Cu2O are deposited by electrodeposition technique onto indium tin oxide（ITO）-coated glass substrate at different potentials. The precursor is an aqueous solution which contains respectively 0.05 M of CuSO4 and citric acid at kept temperature of 60℃ and the applied potential varies within the {-0：4 V,-0：7 V}SCE range. Based on the chronocoulometry（CC） process, the electrochemical, structural and optical parameters are determined. We measured the current as function of potential within the {-0：4 V,-0：7 V} range and the higher current is found to be within the {-0：7 V,-0：3 V} band. The grain sizes are of 12.12 nm and 35.47 nm according to（110） and（221） orientations respectively. The high textural coefficient of 0.943 is recorded for the potential -0：7 V.The transmittance of 72.25 %, within the visible band, is obtained for the as-grown layer at -0：4 V and the band gap is found to be 2.2 e V for the electrodeposition potential of -0：7 V.
文摘In this paper, some characterizations of prime submodules in flat modules and, particularly, in free modules are given. Furthermore, the height of prime submodules and some saturated chain of prime submodules are also given.
