• Journal of Photoscience
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• v.10 no.1
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• pp.21-35
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• 2003

The photoinitiated intramolecular ylide-olefin addition has been developed as an approach for the construction of one ring and two chiral centers, two rings and three chiral centers or three rings and six chiral centers in a single experimental operation from relatively simple starting materials. These investigations have uncovered several interesting and unusual reactions, which are sensitive to controls such as wavelength, temperature and solvent.

• Korean Journal of Mathematics
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• v.20 no.4
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• pp.525-532
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• 2012

We study the extended quadratic residue code of length 24 over $\mathbb{Z}_3$ and its lifts to rings $\mathbb{Z}_{3^e}$ for all e including 3-adic integers ring. We completely determine the weight enumerators of all these lifts.

• Bulletin of the Korean Mathematical Society
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• v.55 no.1
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• pp.311-317
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• 2018

Let (R, m) be a commutative Noetherian local ring and I be an ideal of R. In this paper it is shown that if cd(I, R) = t > 0 and the R-module $Hom_R(R/I,H^t_I(R))$ is finitely generated, then $$t={\sup}\{{\dim}{\widehat{\hat{R}_p}}/Q:p{\in}V(I{\hat{R}}),\;Q{\in}mAss{_{\widehat{\hat{R}_p}}}{\widehat{\hat{R}_p}}\;and\;p{\widehat{\hat{R}_p}}=Rad(I{\wideha{\hat{R}_p}}=Q)\}$$. Moreover, some other results concerning the cohomological dimension of ideals with respect to the rings extension $R{\subset}R[X]$ will be included.

• Korean Journal of Mathematics
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• v.22 no.4
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• pp.725-742
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• 2014

In this paper, we find all inequivalent classes of self-orthogonal codes over $Z_{p^2}$ of lengths $l{\leq}3$ for all primes p, using similar method as in [3]. We find that the classification of self-orthogonal codes over $Z_{p^2}$ includes the classification of all codes over $Z_p$. Consequently, we classify all the codes over $Z_p$ and self-orthogonal codes over $Z_{p^2}$ of lengths $l{\leq}3$ according to the automorphism group of each code.

• Journal of the Korean Chemical Society
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• v.18 no.4
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• pp.239-243
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• 1974

By means of NMR spectrum analysis of the synthesized MBBA and EBBA, it has been found that benzene rings of p-n-butylaniline in both MBBA and EBBA molecules do not conjugate with the central double bond and the benzene ring is twisted from molecular plane of N-(p-methoxy or ethoxy benzylidene) group. And as a result of MO studies, the minimum energy conformation is found for the conformation of $30^{\circ}$ twisted angle. One sees reasonable agreement between theory and experiment.

• Kyungpook Mathematical Journal
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• v.49 no.3
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• pp.451-456
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• 2009

Let R be a ring. We give some new characterizations of QF under the special annihilators condition. Some known results are obtained as corollaries.

• Bulletin of the Korean Mathematical Society
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• v.58 no.3
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• pp.659-668
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• 2021

Let R be a semiprime ring with maximal right ring of quotients Q_mr(R), and let n₁, n₂, …, n_k be k fixed positive integers. Suppose that R is (n₁+n₂+⋯+n_k)!-torsion free, and that f : 𝜌 → Q_mr(R) is an additive map, where 𝜌 is a nonzero right ideal of R. It is proved that if [[…[f(x), x^n₁], …], x^n_k] = 0 for all x ∈ 𝜌, then [f(x), x] = 0 for all x ∈ 𝜌. This gives the result of Beidar et al. [2] for semiprime rings. Moreover, it is also proved that if R is p-torsion, where p is a prime integer with p = Σ^k_i=1 n_i and if f : R → Q_mr(R) is an additive map satisfying [[…[f(x), x^n₁], …], x^n_k] = 0 for all x ∈ R, then [f(x), x] = 0 for all x ∈ R.

• Journal of the Korean Society of Food Culture
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• v.37 no.3
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• pp.248-255
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• 2022

Spinach (Spinacia oleracea L.), a green leafy vegetable, is well known as a functional food due to its biological activities. Vascular calcification is associated with several disease conditions including atherosclerosis, diabetes, and chronic kidney disease (CKD), and is known to raise the risk of cardiovascular diseases related morbidity and mortality. However, there are no previous studies that have investigated the effects of fermented spinach exract (FSE) against aortic and its underlying mechanisms. Therefore, this study investigated the effects and action of possible mechanisms of FSE on inorganic phosphate (PI)-induced vascular calcification in ex vivo mouse aortic rings. PI increased vascular calcification through calcium deposition in ex vivo aortic rings. FSE inhibited calcium accumulation and osteogenic key marker, runt-related transcription factor 2 (Runx2), and bone Morphogenetic Protein 2 (BMP-2) protein expression in ex vivo aortic rings. And, FSE inhibited PI-induced extracellular signal-regulated kinase (ERK) and p38 phosphorylation in ex vivo aortic rings. These results show that FSE can prevent vascular calcification which may be a crucial way for the prevention and treatment of vascular disease association with vascular calcification.

• Bulletin of the Korean Mathematical Society
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• v.55 no.1
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• pp.115-137
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• 2018

Let $R_{u{^2},v^2,w^2,p}$ be a finite non chain ring ${\mathbb{F}}_p[u,v,w]{\langle}u^2,\;v^2,\;w^2,\;uv-vu,\;vw-wv,\;uw-wu{\rangle}$, where p is a prime number. This ring is a part of family of Frobenius rings. In this paper, we explore the structures of cyclic codes over the ring $R_{u{^2},v^2,w^2,p}$ of arbitrary length. We obtain a unique set of generators for these codes and also characterize free cyclic codes. We show that Gray images of cyclic codes are 8-quasicyclic binary linear codes of length 8n over ${\mathbb{F}}_p$. We also determine the rank and the Hamming distance for these codes. At last, we have given some examples.

• Journal of Korean Society of Forest Science
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• v.88 no.4
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• pp.429-437
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• 1999

Heavy metals(Cd, Cu, Pb and Zn) in tree rings of P. thunbergii growing at Onsan Industrial Complex of air polluted area were analyzed to study the condition of heavy metal pollution. The tree ring width began to decrease after operation of factories and decreased abruptly at Onsan Industrial Complex after 1991. Cd contents in tree rings showed 119.4ppb to 867.0ppb level and suddenly increased after 1991. Cu contents showed 309.5ppb to 3686.8ppb, and Pb contents 911.33ppb to 7997.1ppb and fluctuations of those were high after operation of factories. Zn contents showed the highest level of 3528.7ppb to 23826.7ppb and largely ascended after 1960, and increased suddenly after 1992, as compared to former tendency. On the other hand, heavy metal contents in tree rings of P. thunbergii at Gosung of non-air polluted area were far lower than Onsan I. C., and there was a wide difference between both areas after 1990. On the heavy metal contents accumulated in bark of P. thunbergii of both areas, it was higher to 10 times in Cd, 1,000 times in Cu, 285 times in Pb and 133 times in Zn contents at Onsan than at Gosung. In the heavy metal analysis for circle plate and cores, heavy metal contents in cores were generally higher than those in disk and Pb contents showed specially high difference, but pattern of variation by tree age showed a similar tendency.