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KRULL RING WITH UNIQUE REGULAR MAXIMAL IDEAL

  • Chang, Gyu Whan
    • Korean Journal of Mathematics
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    • v.15 no.2
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    • pp.115-119
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    • 2007
  • Let R be a Krull ring with the unique regular maximal ideal M. We show that R has a regular prime element and reg-$dimR=1{\Leftrightarrow}R$ is a factorial ring and reg-$dim(R)=1{\Rightarrow}M$ is invertible ${\Leftrightarrow}R{\varsubsetneq}[R:M]{\Leftrightarrow}M$ is divisorial ${\Leftrightarrow}$ reg-$htM=1{\Rightarrow}R$ is a rank one discrete valuation ring. We also show that if M is generated by regular elements, then R is a rank one discrete valuation ring ${\Rightarrow}$ R is a factorial ring and reg-dim(R)=1.

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Examination for Hetero Diels-Alder Reactions of 4-Acetoxyazetidin-2-one Derivatives (4-Acetoxyazetidin-2-one 유도체의 헤테로 Diels-Alder 반응 특성 조사)

  • Jeon, Pyo Myeong;Lee, Yun Yeong;Gu, Yang Mo
    • Journal of the Korean Chemical Society
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    • v.38 no.9
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    • pp.676-681
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    • 1994
  • Diels-Alder adducts, carbacephems were obtained when 4-acetoxyazetidine-2-one or (3R,4R)-4-acetoxy-3-[(1R)-1-(tert-butyldimethylsilyloxy)ethyl]azetidin-2-one was reacted with 2-(tert-butyldimethylsilyloxy)-1,3-butadiene or with 3-(tert-butyldimethylsilyloxy)-1,3-pentadiene. When tert-butyldiemethylsilyl acrylate was used as the diene, products in which was acetoxy group of 4-acetoxyazetidin-2-one derivatives was substituted by an acryloyloxy group were isolated. When the same reaction was carried out with 4-phenylsulfonylazetidin-2-one as a dienophile with 2-(tert-butyldimethylsilyloxy)-1,3-butadiene, 4-phenylsulfoyl-2-butanone was obtained instead of the expected carbacephem. When dimeric form of thiochalcone was reacted with 4-acetoxyazetidin-2-one in the presence of zinc chloride, the $\beta-lactam$ ring of the azetidin-2-one was destructed and no product was isolated. Also, the reaction of 2-trimethylsilyloxy-1-aza-1,3-butadiene, which was obtained from N-methylacrylamide by treatment of trimethylsilyl trifluoromethanesulfonate in the presence of triethylamine, with 4-acetoxyazetidin-2-one did not give any products.

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Improved One-pot Regioselective Synthesis of 3,7-Diarylpyrazolo[1,5-α]pyrimidines and Their CB1R Activity (3,7-Diarylpyrazolo[1,5-α]pyrimidines의 개선된 One-pot Regioselective 합성과 CB1R 활성)

  • Hong, Yong Deog;Byoun, Kyoung Hee;Park, Miyoung;Park, Jun Seong;Shin, Song Seok
    • Journal of the Society of Cosmetic Scientists of Korea
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    • v.41 no.2
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    • pp.143-150
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    • 2015
  • This study demonstrates an effective one-pot regioselective synthesis of 3,7-diarylpyrazolo [1,5-${\alpha}$]pyrimidines. Moreover, the derivatives obtained were effective CB1R antagonists. These pyrazolo [1,5-${\alpha}$]pyrimidines with diaryl groups at the 3,7-positions are potential pharmacophores for CB1R candidates.

BRAUER GROUP OVER A KRULL DOMAIN

  • Lee, Heisook
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.135-137
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    • 1989
  • Let R be a Krull domain with field of fractions K. By Br(R) we denote the Brauer group of R. Studying the Kernel of the homomorphism Br(R).rarw.Br(K), Orzech defined Brauer groups Br(M) for different categories M of R-modules [4]. In this paper we show that an algebra A in Br(D) is a maximal order in A K and that the map Br(D).rarw. Br(K) is one to one. We note here few conventions. All rings are Krull domains and all modules will be unitary. By Z we donote the set of height one prime ideals of a Krull domain.

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A TEM STUDY OF THE RESIN-DENTIN INTERDIFFUSION ZONE FORMED BY ONE-BOTTLE DENTIN ADHESIVE SYSTEMS (단일용기 상아질 접착제 처리 후 레진-상아질 경계면에 대한 투과전자현미경적 연구)

  • Yang, Dong-Woon;Park, Seong-Ho;Lee, Chan-Young
    • Restorative Dentistry and Endodontics
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    • v.25 no.2
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    • pp.180-192
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    • 2000
  • One bottle system was recently developed in order to simplify the clinical skills and save chair time after continuous improvements on dentin bonding agents. There has been many studies to measure the bond strength of one bottle systems but no actual work has been done on micromorphologic study of resin-dentin interdiffusion zone after one bottle system application. To evaluate the bonding patterns of various commercially available one bottle systems to dentin, observation of resin-dentin interdiffusion zone under TEM was performed. Caries-free human third molars within one month of extractions were chosen for the experiments. The molars were sectioned 1mm above the cementoenamel junction and got rid of the root portions. Crown portions of the teeth were sectioned parallel to occlusal surface so that dentin discs of 1mm in thickness were remained. 7 one bottle systems and 1 two bottle system were applied according to manufacturer's instructions and followings were the results. 1. In every experimental groups, cross bandings of collagen fiber were distinguishable and tight bon dings between the bonding agents and dentin were observed. 2. Hybrid layer was clearly observed in ONE-STEP$^{(R)}$, Prime & Bond$^{(R)}$ 2.1, Syntac$^{(R)}$ SC, MAC-BOND II groups but it was not clear in Single Bond, D-Liner Dual PLUS, ONE COAT BOND groups. 3. Electron-density of hybrid layer was uniform in pattern in MAC-BOND II, Prime & Bond$^{(R)}$ 2.1 groups but not so uniform in ONE-STEP$^{(R)}$ group. 4. Electron-dense amorphous phase in most superior layer of the resin-dentin interdiffusion zone was characteristically observed in Single Bond, Syntac$^{(R)}$ SC, ONE COAT BOND groups. It can be concluded that bondings between the dentin bonding agents and dentin can be various in pattern according to their chemical compositions and the condition during applications.

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WEAKLY DUO RINGS WITH NIL JACOBSON RADICAL

  • KIM HONG KEE;KIM NAM KYUN;LEE YANG
    • Journal of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.457-470
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    • 2005
  • Yu showed that every right (left) primitive factor ring of weakly right (left) duo rings is a division ring. It is not difficult to show that each weakly right (left) duo ring is abelian and has the classical right (left) quotient ring. In this note we first provide a left duo ring (but not weakly right duo) in spite of it being left Noetherian and local. Thus we observe conditions under which weakly one-sided duo rings may be two-sided. We prove that a weakly one-sided duo ring R is weakly duo under each of the following conditions: (1) R is semilocal with nil Jacobson radical; (2) R is locally finite. Based on the preceding case (1) we study a kind of composition length of a right or left Artinian weakly duo ring R, obtaining that i(R) is finite and $\alpha^{i(R)}R\;=\;R\alpha^{i(R)\;=\;R\alpha^{i(R)}R\;for\;all\;\alpha\;{\in}\;R$, where i(R) is the index (of nilpotency) of R. Note that one-sided Artinian rings and locally finite rings are strongly $\pi-regular$. Thus we also observe connections between strongly $\pi-regular$ weakly right duo rings and related rings, constructing available examples.

SOME ONE-DIMENSIONAL NOETHERIAN DOMAINS AND G-PROJECTIVE MODULES

  • Kui Hu;Hwankoo Kim;Dechuan Zhou
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1453-1461
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    • 2023
  • Let R be a one-dimensional Noetherian domain with quotient field K and T be the integral closure of R in K. In this note we prove that if the conductor ideal (R :K T) is a nonzero prime ideal, then every finitely generated reflexive (and hence finitely generated G-projective) R-module is isomorphic to a direct sum of some ideals.

Fixing Behaviors of Dimethylamino Anthraquinone Disperse Dyes and Monochlorotriazinyl Azo Reactive Dyes on P/C Blended Fabrics in One-Step Printing (디메틸아미노안트라퀴논계 분산염료와 아조계 모노클로로트리아진형 반응염료에 의한 P/C혼방직물의 일단계 날염에 있어 고착거동)

  • Park, Geon-Yong;Seo, Gi-Sung
    • Textile Coloration and Finishing
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    • v.19 no.3
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    • pp.18-25
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    • 2007
  • The fixing behaviors of anthraquinone disperse dyes containing dimethylamino substituent, such as C. I. Disperse Violet 26(D.V.26) and C. I. Disperse Blue 14(D.V.14), or containing diamino substituent, such as C. I. Disperse Blue 73(D.B.73), and monochlorotriazinyl azo reactive dyes, such as C. I. Reactive Orange 13(R.O.13), C. I. Reactive Red 3(R.R.3). C. I. Reactive Yellow 2(R.Y.2) on polyester/cotton blend(P/C) fabrics were examined for the one-step printing of P/C fabrics. The high temperature steaming of $175^{\circ}C$ is the most satisfactory fixing method for P/C one-step printing with above disperse and reactive dyes among the four different fixing methods: $175^{\circ}C$ steaming, $102^{\circ}C$ steaming${\rightarrow}175^{\circ}C$ steaming, $190^{\circ}C$ thermosol, $102^{\circ}C$ steaming${\rightarrow}190^{\circ}C$ thermosol. $190^{\circ}C$ thermosol is unfit to fix R.R.3 and R.Y.2 whose heat stability is poor. It was found that D.V.26 and D.B.14 containing dimethylamino substituent are unstable for heat and alkali, but D.B.73 is stable for them to print P/C blend fabrics with R.O.13 which is also stable for heat. Therefore we found that D.B.73, R.O.13 and a pair of D.B.73 and R.O.13 were very suitable for one-step printing of P/C blend fabrics.

The Effect of Nurse Image, Satisfaction with One's Major and Career Decision-making Self-efficacy on Career Preparation Behavior of First-year Nursing Students (간호학과 신입생의 간호사 이미지, 전공만족도, 진로결정 자기효능감이 진로준비행동에 미치는 영향)

  • Kim, Seong Kyong
    • Journal of muscle and joint health
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    • v.31 no.2
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    • pp.117-125
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    • 2024
  • Purpose: This study was intended to evaluate the effect of nurse image, satisfaction with one's major and career decision-making self-efficacy on career preparation behavior of first-year nursing students. Methods: A total of 134 first-year nursing students were enrolled in this study. Data were collected from March 25 to April 5, 2024. Data collected prospectively were analyzed by t-test, ANOVA, Pearson's correlation coefficients, and multiple regression analysis. Results: Career preparation behavior showed a significantly positive correlation with nurse image (r=.28, p=.001), satisfaction with one's major (r=.41, p<.001) and career decision-making self-efficacy(r=.61, p<.001). Career decisionmaking self-efficacy showed a significantly positive correlation with nurse image (r=.59, p<.001), satisfaction with one's major (r=.70, p<.001). Satisfaction with one's major showed a significantly positive correlation with nurse image (r=.66, p<.001). Career preparation behavior was significantly affected by nurse in the family and relatives (β=-.21, p=.003) and career decision-making self-efficacy (β=.64, p<.001), which had an explanatory power of 41.0%. Conclusion: To establish career preparation behavior in first-year nursing students, it is necessary to develop a variety of systematic educational programs to enhance career decision-making self-efficacy.