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ON LOCALLY B*- EQUIV ALENT ALGEBRAS

  • Kang, Soon-Ja
    • Honam Mathematical Journal
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    • v.4 no.1
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    • pp.167-172
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    • 1982
  • Let A be a Banach $^{\ast}$-algebra and C(t) be a closed $^{\ast}$-subalgebra of A gengerated by $t{\in}A$. A is locally $B^{\ast}$-equivalent [$B^{\ast}$-equivalent] if C(t) [A] for every hermitian element t is $^{\ast}$-isomorphic to some $B^{\ast}$-algebra. It was proved that the locally $B^{\ast}$-equivalent algebras with some conditions is $B^{\ast}$-equivalent by B. A. Barnes. In this paper, we obtain the some conditions for a locally $B^{\ast}$-equivalent algebra to be $B^{\ast}$-equivalent.

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ALMOST HOMOMORPHISMS BETWEEN BANACH ALGEBRAS

  • Lee, Sung Jin;Park, Choonkil
    • Korean Journal of Mathematics
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    • v.18 no.1
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    • pp.1-10
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    • 2010
  • It is shown that for an almost algebra homomorphism between Banach algebras, there exists a unique algebra homomorphism near the almost algebra homomorphism. Moreover, we prove that for an almost algebra ${\ast}$-homomorphism between $C^{\ast}$-algebras, there exists a unique algebra ${\ast}$-homomorphism near the almost algebra ${\ast}$-homomorphism, and that for an almost algebra ${\ast}$-homomorphism between $JB^{\ast}$-algebras, there exists a unique algebra ${\ast}$-homomorphism near the almost algebra ${\ast}$-homomorphism.

Detailed Local Chemiluminescence Measurement (OH*, CH* and C2*) and Nitrogen Oxides Emissions in Laminar Partially Premixed CH4/Air Flames (메탄/공기 층류 부분예혼합화염의 상세 라디칼(OH*, CH* 그리고 C2*) 정보와 배기매출물에 관한 실험적 연구)

  • Jeong Yong Ki;Oh Jeong Seog;Jeon Chung Hwan;Chang Young June
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.2 s.233
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    • pp.263-270
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    • 2005
  • An experimental study was performed to investigate the effects of partially premixing, varying the equivalence ratios from $0.79{\sim}{\infty}$, on NOx emissions and chemiluminescence of excited $OH^{\ast},\;CH^{ast}\;C_2^{\ast}$ radicals in laminar partially premixed flames. the signal from the electronically excited state of $OH^{\ast},\;CH^{ast}\;C_2^{\ast}$ was detected through a band pass filter with a photo multiplier tube, which are processed to the intensity ratio ($C_2^{\ast}/CH^{\ast},\;C_2^{\ast}/OH^{\ast},\;and\;CH^{\ast}/OH^{\ast}$) to reveal the correlation with local equivalence ratio. And measurements of NOx emission were made to investigate the relationship between visible flame appearance, chemiluminescence, and EINOX. The results demonstrated that (1) the flames at ${\phi}<1.59$ exhibited classical double flame structure, at ${\phi}>4.76$, the flames exhibited diffusion flame structure, and the intermediate flames at $1.59<{\phi}<4.76$ was a merged flame, (2) the $OH^{\ast}$ peak was located inside the $CH^{\ast}\;and\;C_2^{\ast}$ radical for all measured conditions and the emission intensity ratio of $C_2^{\ast}/CH^{\ast}\;and\;C_2^{\ast}/OH^{\ast}$ were identified as good marker for local equivalence ratio over a range of ${\phi}=0.79{\sim}1.2\;and\;CH^{\ast}/OH^{\ast}\;is\;0.79<{\phi}<1.9$. However, it was difficult to predict the equivalence ratio in partially premixed flames using this system for ${\phi}>2.38$, (3) the minimum NOX emission index (EINOx) is obtained for a equivalence ratio of 3.19 in the intermediate flames.

Detection of Macro-Aspartate Aminotransferase (AST) in an Asymptomatic Patient with Persistent Elevation of AST (지속적으로 AST가 증가된 무증상 환자에서 Macro-AST의 검출)

  • Yang, Eun Ju;Lim, Sung Soo;Shin, Kyeong Seob
    • Korean Journal of Clinical Laboratory Science
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    • v.53 no.2
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    • pp.188-192
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    • 2021
  • The persistent increase of aspartate aminotransferase (AST) due to the presence of a macro-AST can confuse diagnostic or therapeutic decisions in many clinical situations. In this study, we report a case of isolated and persistent AST-elevation without any clinical sign of dysfunction in organs such as the liver, skeletal muscle, cardiac muscle, etc. Despite various investigations, no definite cause for the elevation of AST could be found. With the help of polyethylene glycol (PEG) precipitation, we showed that macro-AST formation was responsible for the elevation of the AST titer in this case. Early recognition of macro-AST by PEG precipitation can prevent diagnostic confusion and unnecessary and even invasive tests.

A STUDY OF LINKED STAR OPERATIONS

  • Paudel, Lokendra;Tchamna, Simplice
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.4
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    • pp.837-851
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    • 2021
  • Let R ⊆ L ⊆ S be ring extensions. Two star operations ${\ast}_1{\in}Star(R,S)$, ${\ast}_2{\in}Star(L,S)$ are said to be linked if whenever $A^{{\ast}_1}= R^{{\ast}_1}$ for some finitely generated S-regular R-submodule A of S, then $(AL)^{{\ast}_2}=L^{{\ast}_2}$. We study properties of linked star operations; especially when ${\ast}_1$ and ${\ast}_2$ are strict star operations. We introduce the notion of Prüfer star multiplication extension ($P{\ast}ME$) and we show that under appropriate conditions, if the extension R ⊆ S is $P{\ast}_1ME$ and ${\ast}_1$ is linked to ${\ast}_2$, then L ⊆ S is $P{\ast}_2ME$.

Examining the Influencing Factors of NFC (Near Field Communication) - Payment Adoption in China : The Moderating Role of Personal Innovativeness (중국 근거리 무선통신(NFC) 간편결제 채택의 결정요인: 개인 혁신성의 조절효과를 중심으로)

  • Mu, Hong-Lei;Lee, Young-Chan;Dong, Fang-Ran
    • Journal of Industrial Convergence
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    • v.16 no.3
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    • pp.33-40
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    • 2018
  • Near Field Communication has been emerged as a spectacular phenomenon. The aim of this study is to determine the factors influencing the adoption of NFC-enabled mobile payment. In order to analyze, this study proposes a research framework based on Technology Acceptance Model. 353 valid data were collected through the Internet who has used NFC technology. Results show that relative advantage, social influence, and technology availability have a significant effect on perceived usefulness ($0.190{\ast}{\ast}{\ast}$, $0.211{\ast}{\ast}{\ast}$, $0.227{\ast}{\ast}{\ast}$respectively). However, for perceived ease of use, only relative advantage and social influence were verified to have significant influence. Perceived ease of use significantly influence perceived usefulness ($0.348{\ast}{\ast}{\ast}$), and both of them significantly affect the NFC-payment adoption intention ($0.199{\ast}{\ast}$, $0.361{\ast}{\ast}{\ast}$). The results also verified the moderator variable of personal innovativeness ($0.20{\ast}{\ast}{\ast}$ and $0.297{\ast}{\ast}{\ast}$respectively).

REGULAR CLOSED BOOLEAN ALGEBRA IN SPACE WITH ONE POINT LINDELOFFICATION TOPOLOGY

  • Gao, Shang-Min
    • The Pure and Applied Mathematics
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    • v.7 no.1
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    • pp.61-69
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    • 2000
  • Let($X^{\ast},\tau^{\ast}$) be the space with one point Lindeloffication topology of space (X,$\tau$). This paper offers the definition of the space with one point Lin-deloffication topology of a topological space and proves that the retraction regu-lar closed function f: $K^{\ast}(X^{\ast}$) defined f($A^{\ast})=A^{\ast}$ if p $\in A^{\ast}$ or ($f(A^{\ast})=A^{\ast}-{p}$ if $p \in A^{\ast}$ is a homomorphism. There are two examples in this paper to show that the retraction regular closed function f is neither a surjection nor an injection.

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An Experimental Investigation of the Characteristic of Radical ($OH^{\ast}$, $CH^{\ast}$, and $C_2^{\ast}$) and Pollutant Emission in Partially Premixed Swirling Methane-air Flames. (스월을 강화한 메탄/공기 부분 예혼합화염에서 자발광($OH^{\ast}$, $CH^{\ast}$, 그리고 $C_2^{\ast}$) 배출특성과 배기배출물에 관한 실험적 연구)

  • Ahn, Kyuong-Min;Jeong, Yong-Ki;Chang, Young-June;Jeon, Chung-Hwan
    • 한국연소학회:학술대회논문집
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    • 2005.10a
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    • pp.320-327
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    • 2005
  • An experimental study was performed to investigate the effects of partially premixing, varying the equivalence ratios from $1.36{\sim}{\infty}$, and swirlers with swirl numbers of 0, 0.28, 0.64, and 1.32, on the characteristic of radical ($OH^{\ast}$, $CH^{\ast}$, and $C_2^{\ast}$) and pollutant emission in partially premixed swirling flames. The signal from the electronically excited state of $OH^{\ast}$, $CH^{\ast}$, and $C_2^{\ast}$ was detected through a band pass filter with a photo multiplier tube, and flow fields images were detected through a schlieren system. The results demonstrated that the flame height decreases and jet spreading angle increase with increasing a swirl number. The more momentum ratio and swirl number increase, the more decrease flame height, and the generation of sooting flame is promoted.

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n-WEAK AMENABILITY AND STRONG DOUBLE LIMIT PROPERTY

  • MEDGHALCHI, A.R.;YAZDANPANAH, T.
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.2
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    • pp.359-367
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    • 2005
  • Let A be a Banach algebra, we say that A has the strongly double limit property (SDLP) if for each bounded net $(a_\alpha)$ in A and each bounded net $(a^{\ast}\;_\beta)\;in\;A^{\ast},\;lim_\alpha\;lim_\beta=lim_\beta\;lim_\alpha$ whenever both iterated limits exist. In this paper among other results we show that if A has the SDLP and $A^{\ast\ast}$ is (n - 2)-weakly amenable, then A is n-weakly amenable. In particular, it is shown that if $A^{\ast\ast}$ is weakly amenable and A has the SDLP, then A is weakly amenable.

AN EXTENSION OF THE FUGLEDGE-PUTNAM THEOREM TO $\omega$-HYPONORMAL OPERATORS

  • Cha, Hyung Koo
    • The Pure and Applied Mathematics
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    • v.10 no.4
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    • pp.273-277
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    • 2003
  • The Fuglede-Putnam Theorem is that if A and B are normal operators and X is an operator such that AX = XB, then $A^{\ast}= X. In this paper, we show that if A is $\omega$-hyponormal and $B^{\ast}$ is invertible $\omega$-hyponormal such that AX = XB for a Hilbert-Schmidt operator X, then $A^{\ast}X = XB^{\ast}$.

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