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ON ALMOST QUASI-COHERENT RINGS AND ALMOST VON NEUMANN RINGS

  • El Alaoui, Haitham;El Maalmi, Mourad;Mouanis, Hakima
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.5
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    • pp.1177-1190
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    • 2022
  • Let R be a commutative ring with identity. We call the ring R to be an almost quasi-coherent ring if for any finite set of elements α1, …, αp and a of R, there exists a positive integer m such that the ideals $\bigcap{_{i=1}^{p}}\;R{\alpha}^m_i$ and AnnRm) are finitely generated, and to be almost von Neumann regular rings if for any two elements a and b in R, there exists a positive integer n such that the ideal (αn, bn) is generated by an idempotent element. This paper establishes necessary and sufficient conditions for the Nagata's idealization and the amalgamated algebra to inherit these notions. Our results allow us to construct original examples of rings satisfying the above-mentioned properties.

A QUESTION ABOUT MAXIMAL NON φ-CHAINED SUBRINGS

  • Atul Gaur;Rahul Kumar
    • Communications of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.11-19
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    • 2023
  • Let 𝓗0 be the set of rings R such that Nil(R) = Z(R) is a divided prime ideal of R. The concept of maximal non φ-chained subrings is a generalization of maximal non valuation subrings from domains to rings in 𝓗0. This generalization was introduced in [20] where the authors proved that if R ∈ 𝓗0 is an integrally closed ring with finite Krull dimension, then R is a maximal non φ-chained subring of T(R) if and only if R is not local and |[R, T(R)]| = dim(R) + 3. This motivates us to investigate the other natural numbers n for which R is a maximal non φ-chained subring of some overring S. The existence of such an overring S of R is shown for 3 ≤ n ≤ 6, and no such overring exists for n = 7.

Distribution of Seven N-Nitrosamines in Food

  • Park, Jong-eun;Seo, Jung-eun;Lee, Jee-yeon;Kwon, Hoonjeong
    • Toxicological Research
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    • v.31 no.3
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    • pp.279-288
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    • 2015
  • N-nitrosamines, which are classified as carcinogens by IARC and US EPA, can be easily found in various foods. They are reaction products between nitrogen oxide and secondary amines, but can also be generated during fermentation. Ever since the 1960s, when nitrite, used as a preservative in processed meats, was suspected to generate N-nitrosamines, the usage of the food additive has been debated. However, the benefit of nitrite in food supply could not be ignored and the risk-benefit analysis has become a key issue in the use of the additive. For a risk analysis, an accurate estimation of the hazardous material is necessary; therefore, analytical methods for nitrosamines have continuously evolved from the 1950s. Solid supported liquid-liquid extraction and solid phase extractions have replaced the distillation for the clean-up steps, and tandem mass spectrometry is employed for higher selectivity and sensitivity. In the present study, for a better estimation of N-nitrosamine intake, the total diet study samples were prepared for the N-nitrosamines analysis. In order to obtain the most sensitive results, a partial preparation procedure was developed and modified for different food matrices. Among seven N-nitrosamines (N-nitrosodimethylamine, N-nitrosomethylethylamine, N-nitrosodiethylamine, N-nitrosodibutylamine, N-nitrosopiperidine, N-nitrosopyrrolidine, and N-nitrosomorpholine) analyzed in the present study, N-nitrosodiethylamine has shown the highest detection rate in agricultural foods, while N-nitrosodimethylamine has appeared most frequently in livestock and fishery food products. The concentration of N-nitrosodimethylamine was the highest in seasoning.

Event Mean Concentration of Nitrogen and Phosphorus from a Dairy and Crop Farming Complex Watershed

  • Yoon, Kwang-Sik;Shirmohammadi, Adel;Choi, Woo-Jung;Jung, Jae-Woon
    • Journal of The Korean Society of Agricultural Engineers
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    • v.48 no.7
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    • pp.65-72
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    • 2006
  • Event mean concentration (EMC) of nitrogen (N) and phosphorus (P) is primary information for non-point source pollution assessment of a watershed. The EMCs for various types of agriculture such as dairy and crop farming under different climate and geologic conditions are not fully investigated. A diary- and cropfarming complex agricultural watershed in Piedmont region in Maryland, USA has been monitored for 10 years as a section 319 national monitoring program of US EPA. Dairy manure was the main source of fertilizer for crop farming in this watershed. Observed mean concentrations of N and P for each event were analyzed. Distribution of EMCs for N and P showed a wide range of variations. Representative EMCs of T-N and $NO_{3}-N$ tended to be higher than those reported for other agricultural watersheds. This study confirmed that site-specific EMC information for various agricultural practices is required for better assessment of non-point source pollution using EMC method.

A Case of n-Hexane Induced Neuropathy with Focal Conduction Block (국소적 전도차단을 보인 n-Hexane induced neuropathy 1례)

  • Seo, Wookeun;Park, Beom-Sik;Cho, Seong Jin;Jhun, Hyung-Jun;Koh, Seong-Beom;Kim, Byung-Jo;Park, Jong-Tae;Park, Min-Kyu;Park, Kun-Woo;Lee, Dae-Hie
    • Annals of Clinical Neurophysiology
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    • v.4 no.1
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    • pp.78-80
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    • 2002
  • A 32-year-old man who had worked at aluminum processing plant for 4 months visited us. He complained of numbness and paresthesia of both foot and hands and weakness of all extremities. Electrophysiologic study showed motorsensory polyneuropathy of diffuse axonal type with focal conduction block. And we discovered higher concentration of n-Hexane in his workplace. On sural nerve biopsy, bubbly enlarged nerve fibers in light microscope and thick myelin sheath and axonal degeneration on electron microscope were found. We diagnosed it as n-Hexane induced neuropathy.

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Effect of Taraxacum herba Extract on the Hepatic Xanthine Oxidase Activity in Rats (포공영 추출물이 흰쥐간 Xanthine Oxidase 활성에 미치는 영향)

  • 이상일;이영순;윤종국
    • Journal of the East Asian Society of Dietary Life
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    • v.5 no.3
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    • pp.215-221
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    • 1995
  • This study was undertaken to investigate the effect of Taraxacum herba extract on the hepatic xanthine oxidase activity as a oxygen free radical generating enzyme in vitro and in vivo. It was observed that partial purified hepatic xanthine oxidase (type O) activity was strongly inhibited by the addition of Taraxacum herba n-butanol extract in vitro. The Km value of xanthine oxidase without affecting the Vmax value for xanthine was significantly increased by the addition of ta-dase (type O) activity was significantly inhibited by the treatment of Taraxacum gerba n-butanol ex-tract for 5days(over 40mg/kg, i.p), whereas, xanthine oxidase (type D) activity was not changed by the injection of Taracacum herba n-butanol extract. Meanwhile, liver weight / body weight(%), serum alanine aminotransferase activity and hepatic lipid peroxide content in Taraxacum herba n-buta-nol extract-treated rat were not changed. These findings led us to conclude that Taraxacum herba n-butanol extract may regulate the hepatic xanthine oxidase type O activity to prevent toxic effect of oxidative stress by the oxygen free radicals.

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Rearrangeability of Reverse Shuffle / Exchange Networks (역 셔플익스체인지 네트워크의 재정돈성)

  • Park, Byoung-Soo
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.7
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    • pp.1842-1850
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    • 1997
  • This paper proposes a new rearrangeable algorithm in multistage reverse shuffle/exchange network. The best known lower bound of stages for rearrangeability in symmetric network is 2logN-1 stages. However, it has never been proved for nonsymmetric networks before. Currently, the best upper bound for the rearrangeability of a shuffle/exchange network in nonsymmetric network is 3logN-3 stages. We describe the rearrangeability of reverse shuffle/exchange multistage interconnection network on every arbitrary permutation with $N{\le}16$. This rearrangeability can be established by setting one more stages in the middle stage of the network to allow the reduced network to be topological equivalent to a class of rearrangeable networks. The results in this paper enable us to establish an upper bound, 2logN stages for rearrangeable reverse shuffle/exchange network with $N{\le}16$, and leads to the possibility of this bound when $N{\le}16$.

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A Simple $H\ddot{u}ckel$ Approach to Intramolecular Photocyclization Reaction of N-(2-Chlorobenzyl)-Pyridinium, N-(Benzyl)-2-Chloropyridinium, and N-(2-Chlorobenzyl)-2-Chloropyridinium Salts

  • Lee, Gang-Ho;Park, Yong-Tae
    • Bulletin of the Korean Chemical Society
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    • v.15 no.10
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    • pp.857-860
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    • 1994
  • We have calculated the ${\pi}$-electron density, atom self-polarizability, and free valence on each atom of N-(2-chlorobenzyl)-pyridinium, N-(benzyl)-2-chloropyridinium, and N-(2-chlorobenzyl)-2-chloropyridinium salts using a simple Huckel method in order to discuss their intramolecular photocyclization reaction in a qualitative method. Our calculation qualitatively predicts that photocyclization occurs through forming radicals as a reaction intermediate by breaking a C-Cl bond after photoexcitation into a triplet state via intersystem crossing from an initially excited singlet state. We noticed that this C-Cl bond breaking is aided by ${\pi}$-complex formation between a chlorine atom and the ${\pi}$ -electrons of the neighboring ring in the triplet state and a stronger ${\pi}$-complex bond makes C-Cl bond breaking, i.e., radical formation, much easier. A chlorine atom will form a stronger ${\pi}$ -complex bond to a benzyl ring of N-(benzyl)-2-chloropyridinium than a pyridinium ring of N-(2-chlorobenzyl)-pyridinium because the former can donate its ${\pi}$-electron more easily than the latter. The chlorine at position 15 of N-(2-chlorobenzyl)-2-chloropyridinium salt in the excited state also provides its ${\pi}$-electron to the benzyl ring. So this ${\pi}$-electron can increase the bond strength of the $\pi-complex.$ Therefore, the strength of ${\pi}$-complex follows the order of N-(2-chlorobenzyl)-2-chloropyridinium, N-(benzyl)-2-chloropyridinium, and N-(2-chlorobenzyl)-pyridinium salts and thus the radical formation rate. This provides us with an intramolecular photocyclization reaction rate of the same order as given above.

Screw Joint Stability under Cyclic Loading of Zirconia Implant Abutments (지르코늄 임플란트 지대주의 나사결합부 안정성에 관한 연구)

  • Lee, Mi-Soon;Suh, Kyu-Won;Ryu, Jae-Jun
    • The Journal of Korean Academy of Prosthodontics
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    • v.47 no.2
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    • pp.164-173
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    • 2009
  • Purpose: The purpose of this study was to evaluate the effect of abutment material on screw-loosening before and after cyclic loading. Among the different materials of abutments, zirconia and metal abutment were used. Material and methods: Two types of implant systems: external butt joint(US II, Osstem Implant, Korea) and internal conical joint(GS II, Osstem Implant, Korea) were used. In each type, specimens were divided into two different kinds of abutments: zirconia and metal(n=5). The implant was rigidly held in a special holding to device ensure fixation. Abutment was connected to 30 Ncm with digital torque gauge, and was retightened in 30 Ncm after 10 minutes. The initial removal torque values were measured. The same specimens were tightened in 30 Ncm again and held in the cycling loading simulator(Instron, USA) according to ISO/FPIS 1480. Cycling loading tests were performed at loads 10 to 250 N, for 1 million cycles, at 14 Hz,(by subjecting sinusoidal wave from 10 to 250 N at a frequency of 14 Hz for 1 million cycles,) and then postload removal torque values were evaluated. Results: 1. In all samples, the removal values of abutment screw were lower than tightening torque values(30 Ncm), but the phenomenon of the screw loosening was not observed. 2. In both of the implant systems, initial and postload removal torque of zirconia abutment were significantly higher than those of metal abutment(P<.05). 3. In both of the implant systems, the difference in removal torque ratio between zirconia abutment and metal abutment was not significant(P>.05). 4. In metal abutments, the removal torque ratio of GS II system(internal conical joint system) was lower than that of US II system(external butt joint system)(P<.05). 5. In zirconia abutments, the difference in removal torque ratio between the two implant systems was not significant(P>.05). Conclusion: Zirconia abutment had a good screw joint stability in the condition of one million cycling loading.

STABILITY AND BIFURCATION IN A DIFFUSIVE PREY-PREDATOR SYSTEM : NON-LINEAR BIFURCATION ANALYSIS

  • Bhattacharya, Rakhi;Bandyopadhyay, Malay;Banerjee, Sandip
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.17-26
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    • 2002
  • A stability analysis of a non-linear prey-predator system under the influence of one dimensional diffusion has been investigated to determine the nature of the bifurcation point of the system. The non-linear bifurcation analysis determining the steady state solution beyond the critical point enables us to determine characteristic features of the spatial inhomogeneous pattern arising out of the bifurcation of the state of the system.