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- 저자 : Huayue Zhu (검색결과 3 건)
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ω-MODULES OVER COMMUTATIVE RINGS
Huayu Yin,Fanggui Wang,Xiaosheng Zhu,Youhua Chen 대한수학회 2011 대한수학회지 Vol.48 No.1
Let R be a commutative ring and let M be a GV -torsionfree R-module. Then M is said to be a w-module if Ext<수식> for any J ∈ GV (R), and the ω-envelope of M is defined by Mω = {x ∈E(M)ㅣJx ⊆ M for some J ∈ GV (R)}. In this paper, ω-modules over commutative rings are considered, and the theory of ω-operations is de-veloped for arbitrary commutative rings. As applications, we give some characterizations of ω-Noetherian rings and Krull rings.
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ω-MODULES OVER COMMUTATIVE RINGS
Yin, Huayu,Wang, Fanggui,Zhu, Xiaosheng,Chen, Youhua Korean Mathematical Society 2011 대한수학회지 Vol.48 No.1
Let R be a commutative ring and let M be a GV -torsionfree R-module. Then M is said to be a $\omega$-module if $Ext_R^1$(R/J, M) = 0 for any J $\in$ GV (R), and the w-envelope of M is defined by $M_{\omega}$ = {x $\in$ E(M) | Jx $\subseteq$ M for some J $\in$ GV (R)}. In this paper, $\omega$-modules over commutative rings are considered, and the theory of $\omega$-operations is developed for arbitrary commutative rings. As applications, we give some characterizations of $\omega$-Noetherian rings and Krull rings.
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Adsorption properties of Friedel’s salt for the nitrate in the landfill
Dongsheng Shen,Jun Yao,Qingna Kong,Huayue Zhu,Zhen Zhang 한국화학공학회 2016 Korean Journal of Chemical Engineering Vol.33 No.2
Adsorption characteristics of nitrate on Friedel’s salt under the landfill circumstance were investigated to explore the effect of Friedel’s salt on the migration of nitrate in the landfill. Friedel’s salt was synthesized by a coprecipitation method and characterized by XRD and FTIR spectroscopy. The kinetics and isotherm of the adsorption were studied. The effect of the variation of landfill circumstance on the adsorption was also discussed. The result showed that the adsorption capacity of Friedel’s salt for nitrate was 2.494mg g−1. The adsorption process was exothermic and could be well described by pseudo-second-order kinetics and Langmuir-Freundlich equation. Cl− could enhance the adsorption, while SO4 2−, PO4 3− and organic matter could restrict the adsorption. The results suggested that the migration of nitrate in the landfill could be altered by Friedel’s salt, which was related to the variation of the landfill circumstance.
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