• Title/Summary/Keyword: ${\alpha}$-derivation

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ON ANNIHILATOR IDEALS OF A NEARRING OF SKEW POLYNOMIALS OVER A RING

  • Hashemi, Ebrahim
    • Journal of the Korean Mathematical Society
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    • v.44 no.6
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    • pp.1267-1279
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    • 2007
  • For a ring endomorphism ${\alpha}$ and an ${\alpha}-derivation\;{\delta}$ of a ring R, we study relation between the set of annihilators in R and the set of annihilators in nearring $R[x;{\alpha},{\delta}]\;and\;R_0[[x;{\alpha}]]$. Also we extend results of Armendariz on the Baer and p.p. conditions in a polynomial ring to certain analogous annihilator conditions in a nearring of skew polynomials. These results are somewhat surprising since, in contrast to the skew polynomial ring and skew power series case, the nearring of skew polynomials and skew power series have substitution for its "multiplication" operation.

DERIVATIONS ON SEMIPRIME MUTATION ALGEBRAS

  • Jeong, Kwang-Taek
    • Communications of the Korean Mathematical Society
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    • v.14 no.1
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    • pp.69-74
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    • 1999
  • In [2], the author discusses derivations of A(p,q) when A(p,q) is prime and p,q $\in$ A satisfy the condition A=Ap+Aq+R where R is a subspace of Z(A). In this paper, we consider a general-ization of Theorem 1 in [2] for the semiprime case of A(p,q).

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The Antioxidative and Antimicrobial Ability of Ethanol Extracts from Rosa hybrida (장미 에탄올 추출물의 항산화성 및 항균성)

  • Lee, Hye-Ran;Lee, Ji-Min;Choi, Nam-Soon;Lee, Jong-Mee
    • Korean Journal of Food Science and Technology
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    • v.35 no.3
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    • pp.373-378
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    • 2003
  • This research was conducted to investigate the possibilities of usage of rose (Rosa hybrida L. cv. Mary Devor) by examining th antioxidative and antimicrobial activities of extracts with various levels of ethanol concentrates. Proximate composition, dietary fiber, and flavonoids contents were analyzed, and total antioxidant status and yield ratios of extraction of rose were measured. The rose extracts were extracted in different level of ethanol concentrates (0, 75, 85, 95%), and peroxide value, acid value, and TBA value were investigated in different level of concentrates of extracts added and time duration of storage. The results were as follows; derivation period from measuring peroxide value showed that the rose (Petal & Calyces) extract-added group showed longer derivation period than the control group, tocopherol-added, or BHT-added groups, and it proved to be a highly effective antioxidant as a result. It showed the longest derivation period especially when 85% ethanol extract was added with concentration of 0.05%. For the acid values and TBA values of the extract added oil, the rose extract-added group and BHT-added group showed lower values than the control group and tocopherol-added group as th length of time for storage becomes longer. In fact, the rose extracts suggested the possibility to be used as a natural antioxidants as it showed high antioxidative effect similar to BHT. Overall, the rose extracts from each solvent showed high antimicrobial effects against Escherichia coli, Salmonella typhimurium, Staphylococcus aureus than control group. Especially, 85% ethanol extract showed significantly high antimicrobial effect against Escherichia coli.

Effect of Foeniculum Vulgare extract on inflammatory response in lipopolysaccharide exposed rats (회향(茴香) 추출물이 LPS를 처리한 Rat의 염증반응에 미치는 영향)

  • Heo, Seong-Kyu;Lee, Eun;Park, Won-Hyung;Cha, Yoon-Yop
    • Journal of Korean Medicine Rehabilitation
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    • v.23 no.2
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    • pp.73-83
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    • 2013
  • Objectives : This study was performed to investigate the effects of Foeniculum Vulgare(FV) extract on the anti-inflammatory of lipopolysaccharide(LPS) exposed rats. Methods : We divided LPS exposed Sprague-Dawley rats into 4 groups. They were control group, feed with 100 mg/kg, 200 mg/kg, 300 mg/kg FV groups. They were administered for 6 weeks. We measured the concentration of plasma interleukin-1${\beta}$(IL-1${\beta}$), plasma interleukin-6(IL-6), plasma tumor necrosis factor-${\alpha}$ (TNF-${\alpha}$), plasma interleukin-10(IL-10), the concentration of liver IL-1${\beta}$, IL-6, TNF-${\alpha}$ and IL-10. Results : 1. Plasma IL-1${\beta}$, plasma IL-6 and plasma TNF-${\alpha}$ concentration increased rapidly at 2hours after LPS injection and maintained high levels at 5hours after LPS injection. The concentration of these cytokines in the FV extract groups showed lower values than control group(P<0.05). 2. The concentration of Plasma IL-10 in FV extract groups showed higher values than control group at all times(P<0.05). 3. The concentration of liver IL-1${\beta}$ and IL-6 in FV extract groups showed lower values than control group(P<0.05). The concentration of liver TNF-${\alpha}$ in FV extract groups showed a tendency to decrease and that of liver IL-10 in FV extract groups showed a tendency to increase; however, these values showed no significantly different. Conclusions : In inflammatory response by LPS derivation, the FV gives positive effect.

On Commutativity of σ-Prime Γ-Rings

  • DEY, KALYAN KUMAR;PAUL, AKHIL CHANDRA;DAVVAZ, BIJAN
    • Kyungpook Mathematical Journal
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    • v.55 no.4
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    • pp.827-835
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    • 2015
  • Let U be a ${\sigma}$-square closed Lie ideal of a 2-torsion free ${\sigma}$-prime ${\Gamma}$-ring M. Let $d{\neq}1$ be an automorphism of M such that $[u,d(u)]_{\alpha}{\in}Z(M)$ on U, $d{\sigma}={\sigma}d$ on U, and there exists $u_0$ in $Sa_{\sigma}(M)$ with $M{\Gamma}u_0{\subseteq}U$. Then, $U{\subseteq}Z(M)$. By applying this result, we generalize the results of Oukhtite and Salhi respect to ${\Gamma}$-rings. Finally, for a non-zero derivation of a 2-torsion free ${\sigma}$-prime $\Gamma$-ring, we obtain suitable conditions under which the $\Gamma$-ring must be commutative.

An Analytical Model of Maximum Simultaneous Switching Noise for Ground Interconnection Networks in CMOS Systems (CMOS 그라운드 연결망에서의 최대 동시 스위칭 잡음의 해석 모형)

  • Kim, Jung-Hak;Baek, Jong-Humn;Kim, Seok-Yoon
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.50 no.3
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    • pp.115-119
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    • 2001
  • This paper presents an efficient and simple method for analyzine maximum simultaneous switching noise (SSN) on ground interconnection networks in CMOS systems. For the derivation of maximum SSN expression, we use ${\alpha}$-power law MOS model and Taylor's series approximation. The accuracy of the proposed method is verified by comparing the results with those of previous researches and HSPICE simulations under the contemporary process parameters and environmental conditions. The proposed method predicts the maximum SSN values more accurately when compared to existing approaches even in most practical cases such that exist some output drivers not in transition.

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Establishment of Spermatogonial Stem Cells using Total Testicular Cell Culture System in Mouse (정소세포의 체외 혼합배양 방법을 이용한 생쥐 정원 줄기세포 확립)

  • Lee, Won Young;Kim, Hee Chan;Kim, Dong Hoon;Chung, Hak Jae;Park, Jin Ki;Song, Hyuk
    • Reproductive and Developmental Biology
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    • v.37 no.3
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    • pp.143-148
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    • 2013
  • Spermatogenesis is initiated from spermatogonial stem cells (SSCs) that has an ability of self-renewal and unipotency to generate differentiating germ cells. The objective of this study is to develop the simple method for derivation of SSCs using non-sorting of both spermatogonia and feeder cells. Simply uncapsulated mouse testes were treated with enzymes followed by surgical mincing, and single cells were cultured in stempro-$34^{TM}$ cell culture media at $37^{\circ}C$. After 5 days of culture, aciniform of SSC colony was observed, and showed a strong alkaline phosphatase activity. Molecular characterization of mouse SSCs showed that most of the mouse SSC markers such as integrin ${\alpha}6$ and ${\beta}1$, CD9 and Stra8. In addition, pluripotency embryonic stem cell (ESC) marker Oct4 were expressed, however Sox2 expression was lowered. Interestingly, expression of SSC markers such as Vasa, Dazl and PLZF were stronger than mouse ESC (mESC). This data suggest that generated mouse SSCs (mSSCs) in this study has at least similar biomarkers expression to mESC and mSSCs derived from other study. Immunocytochemistry using whole mSSC colony also confirmed that mSSCs generated from this study expressed SSC specific biomarkers such as c-kit, Thy1, Vasa and Dazl. In conclusion, mSSCs from 5 days old mouse testes were successfully established without sorting of spermatogonia, and this cells expressed both mESC and SSC specific biomarkers. This simple derivation method for mSSCs may facilitate the study of spermatogenesis.

MCDM Approach for Flood Vulnerability Assessment using TOPSIS Method with α Cut Level Sets (α-cut Fuzzy TOPSIS 기법을 적용한 다기준 홍수취약성 평가)

  • Lee, Gyumin;Chung, Eun-Sung;Jun, Kyung Soo
    • Journal of Korea Water Resources Association
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    • v.46 no.10
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    • pp.977-987
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    • 2013
  • This study aims to develop a multiple criteria decision making (MCDM) approach for flood vulnerability assessment which considers uncertainty. The flood vulnerability assessment procedure consists of three steps: (1) use the Delphi process to determine the criteria and their corresponding weights-the adopted criteria represent the social, economic, and environmental circumstances related to floods, (2) construct a fuzzy data matrix for the flood vulnerability criteria using fuzzification and standardization, and (3) set priorities based on the number of assessed vulnerabilities. This study uses a modified fuzzy TOPSIS method based on ${\alpha}$-level sets which considers various uncertainties related to weight derivation and crisp data aggregation. Further, Spearman's rank correlation analysis is used to compare the rankings obtained using the proposed method with those obtained using fuzzy TOPSIS with fuzzy data, TOPSIS, and WSM methods with crisp data. The fuzzy TOPSIS method based on ${\alpha}$-cut level sets is found to have a higher correlation rate than the other methods, and thus, it can reduce the difference of the rankings which uses crisp and fuzzy data. Thus, the proposed flood vulnerability assessment method can effectively support flood management policies.

Anti-inflammatory Effect of Artemisia Capillaris Thunberg in Lipopolysaccharide-exposed Rats (인진호(茵蔯蒿)가 LPS 염증유발 흰쥐의 전염증성 cytokine 생산 및 혈액성상에 미치는 영향)

  • Seo, Yong-Seok;Lee, Eun;Cha, Yun-Yeop
    • Journal of Korean Medicine Rehabilitation
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    • v.20 no.3
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    • pp.27-35
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    • 2010
  • Objectives : The present study investigated anti-inflammatory effect of Artemisia Capilaris Thunberg in lipopolysaccharide-exposed rats. Methods : We divided lipopolysaccharide-exposed Sprague-Dawley rats into 4 groups. They were normal group, feed with 100 mg/kg Artemisia Capillaris Thunberg group, feed with 200 mg/kg Artemisia Capillaris Thunberg group and feed with 300 mg/kg Artemisia capilaris Thunberg group. They were administered for 6 weeks. We measured counts of red blood cell(RBC), the values of hemoglobin(Hb) and packed cell volume(PCV), plasma total protein concentration, albumin concentration, the ratio of albumin/globulin, the activities of plasma glutamic oxaloacetic transaminase(GOT), glutamic pyruvic transaminase(GPT), lactate dehydrogenase(LDH), the counts of white blood cell(WBC), the ratio of neutrophils, lymphocytes, monocytes, basophils, eosinophils, the concentration of plasma interleukin-$1{\beta}$($IL-1{\beta}$), plasma interleukin-6(IL-6), plasma tumor necrosis factor-$\alpha$($TNF-{\alpha}$), plasma interleukin-10(IL-10), the concentration of liver $IL-1{\beta}$ and IL-6, $TNF-{\alpha}$, IL-10. Results : Counts of RBC and the values of Hb and PCV, plasma total protein concentration and albumin concentration, the activities of plasma GOT, GPT and LDH showed no significant difference in the treatment groups. and the ratio of albumin/globulin was increased in Artemisia Capillaris Thunberg groups. The counts of WBC showed lower values in Artemisia Capillaris Thunberg groups than those of control group, In the ratio of neutrophils Thunberg groups. The ration of monocytes, basophils and eosinophils were below 5%, and showed no characteristic trend. The concentration of plasma interleukin-$1{\beta}$($IL-1{\beta}$), plasma inerleukin-6(IL-6) and plasma tumor necrosis factor-$\alpha$($TNF-{\alpha}$) showed a lower values in the Artemisia Capillaris Thunberg groups than those of control group, and the concentration of plasma interleukin-10(IL-10) showed no significant difference in the treatment groups. The concentration of liver $IL-1{\beta}$ and IL-6 showed a lower values in the Artemisia Capillaris Thunberg groups than those of control group, however the concentration of liver $TNF-{\alpha}$ and IL-10 showed no significant difference in the treatment groups. Conclusions : The Artemisia Capillaris Thunberg groups gives positive results of anti-inflammatory response by lipopolysaccharide(LPS) derivation.