• Bulletin of the Korean Mathematical Society
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• v.60 no.2
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• pp.529-539
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• 2023

In this paper, we study nuclearity of semigroup crossed products for quasi-lattice ordered groups. We show the relationships among nuclearity of the semigroup crossed product, amenability of the quasi-lattice ordered group and nuclearity of the underlying C^*-algebra.

• Journal of the Korean Mathematical Society
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• v.55 no.5
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• pp.1045-1061
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• 2018

We investigate the relationship between $C^*$-envelopes and inductive limit of operator systems. Various operator system nuclearity properties of inductive limit for a sequence of operator systems are also discussed.

• Journal for History of Mathematics
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• v.11 no.2
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• pp.77-82
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• 1998

The paper deals with compressed historical developments of certain invariant characterization of ${\lambda}$-nuclearity including approximable property of ${\lambda}$-nuclear representation and the normality of ${\lambda}$ by means of $C_0$-permanence.

• Proceedings of the Polymer Society of Korea Conference
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• 2006.10a
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• pp.224-225
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• 2006

The Ethylene polymerization behavior of a series of polymethylene bridged dinuclear CGC $[Zr({\eta}^{5}:{\eta}^{1}-C_{9}H_{5}SiMe_{2}NCMe_{3})Me_{2}]_{2}[(CH_{2})_{n}]\;[_{n}=6(1),\;9(2),\;12(3)]$ in the cocatalytic activation with $Ph_{3}C^{+}B^{-}(C_{6}F_{5})_{4}\;(B_{1})\;or\;Ph_{3}C^{+}(C_{6}F_{5})_{3}B^{-}C_{6}F_{4}B^{-}(C_{6}F_{5})_{3}Ph_{3}C^{+}\;(B_{2})\;or\;B(C_{6}F_{5})_{3}\;(B_{3})$ were investigated to study the nuclearity effects as well as the counteranion effects. The ethylene polymerization and ethylene/1-hexene copolymerization were conducted at $30^{\circ}C$ It was found that both in ethylene polymerization and ethylene/1-hexene copolymerization, activities increased in the order of 1 < 2 < 3, which indicates the presence of longer bridge between two active sites contributes more efficiently to facilitate the polymerization activity.

• Bulletin of the Korean Chemical Society
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• v.23 no.5
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• pp.708-714
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• 2002

The hexanuclear metallamacrocycles were observed repeatedly in various conditions including the presence of several different tricationic metal ions in the macrocyclic ring system and of the linear alkyl chains at the acyl site of N-acylsalicylhydrazide ligand, which contrasts to the formation of the decanuclear metallamacrocycle with bulkier side chains such as phenyl group at the acyl site of the ligand. We synthesized a series of metallamacrocycles in various solvents to find the relationship between the solvents and the nuclearity of the metallamacrocycles. Whether the solvents are sterically more demanding or not, the complexes formed kept the hexanuclear metallamacrocycle system.

• Bulletin of the Korean Mathematical Society
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• v.60 no.1
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• pp.137-148
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• 2023

We show the existence of inductive limit in the category of C^*-ternary rings. It is proved that the inductive limit of C^*-ternary rings commutes with the functor 𝓐 in the sense that if (M_n, ϕ_n) is an inductive system of C^*-ternary rings, then $\lim_{\rightarrow}$ 𝓐(M_n) = 𝓐$(\lim_{\rightarrow}\;M_{n})$. Some local properties (such as nuclearity, exactness and simplicity) of inductive limit of C^*-ternary rings have been investigated. Finally we obtain $\lim_{\rightarrow}\;M_{n}^{**}$ = $(\lim_{\rightarrow}\;M_{n})^{**}$.