• Title/Summary/Keyword: R.M.R

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MAX-INJECTIVE, MAX-FLAT MODULES AND MAX-COHERENT RINGS

  • Xiang, Yueming
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.611-622
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    • 2010
  • A ring R is called left max-coherent provided that every maximal left ideal is finitely presented. $\mathfrak{M}\mathfrak{I}$ (resp. $\mathfrak{M}\mathfrak{F}$) denotes the class of all max-injective left R-modules (resp. all max-flat right R-modules). We prove, in this article, that over a left max-coherent ring every right R-module has an $\mathfrak{M}\mathfrak{F}$-preenvelope, and every left R-module has an $\mathfrak{M}\mathfrak{I}$-cover. Furthermore, it is shown that a ring R is left max-injective if and only if any left R-module has an epic $\mathfrak{M}\mathfrak{I}$-cover if and only if any right R-module has a monic $\mathfrak{M}\mathfrak{F}$-preenvelope. We also give several equivalent characterizations of MI-injectivity and MI-flatness. Finally, $\mathfrak{M}\mathfrak{I}$-dimensions of modules and rings are studied in terms of max-injective modules with the left derived functors of Hom.

Comparison of marginal fit before and after porcelain build-up of two kinds of CAD/CAM zirconia all-ceramic restorations (두 종류의 CAD/CAM 지르코니아 전부도재관의 도재 축성 전후의 변연적합도 비교)

  • Shin, Ho-Sik;Kim, Seok-Gyu
    • The Journal of Korean Academy of Prosthodontics
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    • v.46 no.5
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    • pp.528-534
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    • 2008
  • Purpose: Marginal fit is one of the important components for the successful prosthodontic restoration. Poor fitting margin of the restoration causes hypersensitivity, secondary caries, and plaque accumulation, which later result in prosthodontic failure. CAD/CAM zirconia all-ceramic restorations, such as $LAVA^{(R)}$ (3M ESPE, St.Paul, MN) and $EVEREST^{(R)}$ (KaVo Dental GmbH, Biberach, Germany) systems were recently introduced in Korea. It is clinically meaningful to evaluate the changes of the marginal fit of the CAD/CAM zirconia systems before and after build-up. The purposes of this study are to compare the marginal fit of the two CAD/CAM all-ceramic systems with that of the ceramometal restoration, before and after porcelain build-up Material and methods: A maxillary first premolar dentiform tooth was prepared with 2.0 mm occlusal reduction, 1.0 mm axial reduction, chamfer margin, and 6 degree taperness in the axial wall. The prepared dentiform die was duplicated into the metal abutment die. The metal die was placed in the dental study model, and the full arch impressions of the model were made. Twenty four copings of 3 groups which were $LAVA^{(R)}$, $EVEREST^{(R)}$, and ceramometal restorations were fabricated. Each coping was cemented on the metal die with color-mixed Fit-checker $II^{(R)}$ (GC Cor., Tokyo, Japan). The marginal opening of each coping was measured with $Microhiscope^{(R)}$ system (HIROX KH-1000 ING-Plus, Seoul, Korea. X300 magnification). After porcelain build-up, the marginal openings of $LAVA^{(R)}$, $EVEREST^{(R)}$,and ceramometal restorations were also evaluated in the same method. Statistical analysis was done with paired t-test and one-way ANOVA test. Results: In coping states, the mean marginal opening for $EVEREST^{(R)}$ restorations was $52.00{\pm}11.94\;{\mu}m$ for $LAVA^{(R)}$ restorations $56.97{\pm}10.00\;{\mu}m$, and for ceramometal restorations $97.38{\pm}18.54\;{\mu}m$. After porcelain build-up, the mean marginal opening for $EVEREST^{(R)}$ restorations was $61.69{\pm}19.33\;{\mu}m$, for $LAVA^{(R)}$ restorations $70.81{\pm}12.99\;{\mu}m$, and for ceramometal restorations $1115.25{\pm}23.86\;{\mu}m$. Conclusion: 1. $LAVA^{(R)}$ and $EVEREST^{(R)}$ restorations in comparison with ceramometal restorations showed better marginal fit, which had significant differences (P < 0.05) in coping state and also after porcelain build-up . 2. The mean marginal opening values between $LAVA^{(R)}$ and $EVEREST^{(R)}$ restorations did not showed significant differences after porcelain build-up as well as in coping state (P > .05). 3. $EVEREST^{(R)}$, $LAVA^{(R)}$ and ceramometal restorations showed a little increased marginal opening after porcelain build-up, but did not show any statistical significance (P > .05).

BOUNDS ON PROBABILITY FOR THE OCCURRENCE OF EXACTLY r, t OUT OF m, n EVENTS

  • Lee, Min-Young
    • Communications of the Korean Mathematical Society
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    • v.12 no.2
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    • pp.393-401
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    • 1997
  • Let $A_1,A_2,\cdots,A_m$ and $B_1,B_2,\cdots,B_n$ be two sequences of events on a given probability space. Let $X_m$ and $Y_n$, respectively, be the number of those $A_i$ and $B_j$, which occur we establish new upper and lower bounds on the probability $P(X=r, Y=t)$ which improve upper bounds and classical lower bounds in terms of the bivariate binomial moment $S_{r,t},S_{r+1,t},S_{r,t+1}$ and $S_{r+1,t+1}$.

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Rings Whose Simple Singular Modules are PS-Injective

  • Xiang, Yueming;Ouyang, Lunqun
    • Kyungpook Mathematical Journal
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    • v.54 no.3
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    • pp.471-476
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    • 2014
  • Let R be a ring. A right R-module M is PS-injective if every R-homomorphism $f:aR{\rightarrow}M$ for every principally small right ideal aR can be extended to $R{\rightarrow}M$. We investigate, in this paper, rings whose simple singular modules are PS-injective. New characterizations of semiprimitive rings and semisimple Artinian rings are given.

𝜙-prime Subsemimodules of Semimodules over Commutative Semirings

  • Fatahi, Fatemeh;Safakish, Reza
    • Kyungpook Mathematical Journal
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    • v.60 no.3
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    • pp.445-453
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    • 2020
  • Let R be a commutative semiring with identity and M be a unitary R-semimodule. Let 𝜙 : 𝒮(M) → 𝒮(M) ∪ {∅} be a function, where 𝒮(M) is the set of all subsemimodules of M. A proper subsemimodule N of M is called 𝜙-prime subsemimodule, if r ∈ R and x ∈ M with rx ∈ N \𝜙(N) implies that r ∈ (N :R M) or x ∈ N. So if we take 𝜙(N) = ∅ (resp., 𝜙(N) = {0}), a 𝜙-prime subsemimodule is prime (resp., weakly prime). In this article we study the properties of several generalizations of prime subsemimodules.

Role of Glucocorticoids in Fasting-induced Changes in Hypothalamic and Pituitary Components of the Growth Hormone (GH)-axis

  • Kim, Eun-Hee;Seo, Sang-Hee;Chung, Hyun-Ju;Park, Seung-Joon
    • The Korean Journal of Physiology and Pharmacology
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    • v.12 no.5
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    • pp.217-223
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    • 2008
  • To directly test if elevated glucocorticoids are required for fasting-induced regulation of growth hormone (GH)-releasing hormone (GHRH), GHRH receptors (GHRH-R) and ghrelin receptors (GHS-R) expression, male rats were bilaterally adrenalectomized or sham operated. After 7 days, animals were fed ad libitum or fasted for 48 h. Bilateral adrenalectomy increased hypothalamic GHRH to 146% and decreased neuropeptide Y (NPY) mRNA to 54% of SHAM controls. Pituitary GHRH-R and GHS-R mRNA levels were decreased by adrenalectomy to 30% and 80% of shamoperated controls. In shamoperated rats, fasting suppressed hypothalamic GHRH (49%) and stimulated NPY (166%) mRNA levels, while fasting increased pituitary GHRH-R (391%) and GHS-R (218%) mRNA levels. However, in adrenalectomized rats, fasting failed to alter pituitary GHRH-R mRNA levels, while the fasting-induced suppression of GHRH and elevation of NPY and GHS-R mRNA levels remained intact. In fasted adrenalectomized rats, corticosterone replacement increased GHRH-R mRNA levels and intensified the fasting-induced decrease in GHRH, but did not alter NPY or GHS-R response. These data suggest that elevated glucocorticoids mediate the effects of fasting on hypothalamic GHRH and pituitary GHRH-R expression, while glucocorticoids are likely not the major determinant in fasting-induced increases in hypothalamic NPY and pituitary GHS-R expression.

Comparison of physical fitness according to body mass index of Chinese college students (중국 대학생의 체질량지수에 따른 체력 비교)

  • Chen, Fu;Kim, Jung-Hyun;Kim, Ok-ja
    • Journal of Korean Physical Therapy Science
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    • v.28 no.3
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    • pp.53-65
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    • 2021
  • Background: The purpose of this study was to a comparison of physical fitness according to the body mass index (BMI) of Chinese college students. Design: Cross-sectional study. Methods: According to the BMI, the research objects are divided into four types: underweight, normal weight, overweight, and obesity. This research took 26,976 college students who participated in Jiujiang College. It examines BMI, 50m, vital capacity, standing long jump, sitting forward bend, sit-up (female), pull-up (male), 800m (female), 1000m (male) which is to research the correlation between different BMI and other indicators. Results: The physical qualities of students with normal weight are significantly better than those with other BMI groups. Pearson correlation analysis showed that male BMI was positively correlated with vital capacity (r=0.07, p<0.01), 50m (r=0.15, p<0.01) and 1000m (r=0.14, p<0.01), and negatively correlated with standing long jump (r=-0.12, p<0.01), sitting forward bend (r=-0.06, p<0.01) and pull-up (r=-0.13, p<0.01); Female BMI was positively correlated with vital capacity (r=0.03, p<0.01), 50m (r=0.21, p<0.01) and 800m (r=0.18, p<0.01), and negatively correlated with standing long jump (r=-0.07, p<0.01), sitting forward bend (r=-0.11, p<0.01) and sit-up (r=-0.10, p<0.01). Conclusion: Overweight and underweight will affect the physical quality of college students. Students should keep their BMI within the normal range for their health.

Cytotoxicity of Compound K (IH-901) and Ginsenoside Rh2, Main Biotransformants of Ginseng Saponins by Bifidobacteria, against Some Tumor Cells

  • Shin, Ji-Eun;Park, Eun-Kyung;Kim, Eun-Jin;Hong, Yoon-Hee;Lee, Kyung-Tae;Kim, Dong-Hyun
    • Journal of Ginseng Research
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    • v.27 no.3
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    • pp.129-134
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    • 2003
  • When ginsenoside $R_{*}$b1/ and $R_{b2}$ were anaerobically incubated with human fecal microflora, these ginsenosides were metabolized to compound K (IH-901). When ginsenoside $R_{g3}$ was anaerobically incubated with human fecal microflora, the ginsenoside $R_{g3}$ was metabolized it to ginsenoside $R_{h2}$. Among ginsenosides, IH-901 and 20(S)-ginsenoside $R_{h2}$ exhibited the most potent cyotoxicity against tumor cells: 50% cytotoxic concentrations of IH-901 in the media with and without fetal bovine serum (FBS) were 27.1-31.6 $\mu$M and 0.1-0.61 $\mu$M, and those of 20(S)-ginsenoside $R_{h2}$ were 37.5->50 and 0.7-7.1 $\mu$M, respectively. The cytotoxic potency of ginsenosides was IH-901>20(S)-ginsenoside R $h_{h2}$》20(S)-ginsenoside $R_{g3}$>ginsenoside $R_{b1}$(equation omitted) $R_{b2}$.EX>$R_{b2}$./.

Coat Color of Korean Brindle Cattle and Melanocortin 1 Receptor (MC1R) mRNA: Variation of 3'-Untranslated Region and Expression (칡소의 모색과 Melanocortin 1 Receptor(MC1R) mRNA: 3'-비번역 부위의 변이 및 발현)

  • Lee, Hae-Lee;Park, Jae-Hee;Kim, Jong Gug
    • Journal of Embryo Transfer
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    • v.29 no.3
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    • pp.297-303
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    • 2014
  • The objective of this study was to determine the breed differences in the 3'-untranslated region (UTR) of MC1R mRNA, which may be used to distinguish Korean brindle cattle (Chikso) from other breeds. We investigated the relationship between the variation of 3'-UTR of the MC1R mRNA and coat color among different breeds and the Korean brindle cattle with different coat colors. MC1R mRNA expression levels were determined in accordance with the coat color and hair colors of the tail. Total cellular RNA was extracted from the hair follicles of the tails in Hanwoo, Korean brindle cattle, Holstein and $Hanwoo{\times}Holstein$ crossbred cattle. After cDNA synthesis, PCR was performed. Sequences of the 3'-UTR of MC1R mRNA were analyzed. The 3'-UTR of the MC1R mRNA from different breeds of cattle did not show any variations. There were no variations in the 3'-UTR of the MC1R mRNA in Korean brindle cattle with different coat colors. The levels of MC1R mRNA expression in hair follicles of the tail varied substantially among the Korean brindle cattle with different coat colors, except yellow coat color. Correlation between the MC1R mRNA expression in the hair follicles of the tail and coat color may be present in the Korean brindle cattle, but not between the variations of 3'-UTR of MC1R mRNA and coat color. Further studies to determine the regulation of MC1R mRNA expression from the hair follicles of different coat colors will be beneficial in clarifying the role of MC1R in the coat colors of the Korean brindle cattle.