• 제목/요약/키워드: Triple derivation

검색결과 15건 처리시간 0.019초

REMARKS ON GENERALIZED JORDAN (α, β)*-DERIVATIONS OF SEMIPRIME RINGS WITH INVOLUTION

  • Hongan, Motoshi;Rehman, Nadeem ur
    • 대한수학회논문집
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    • 제33권1호
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    • pp.73-83
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    • 2018
  • Let R be an associative ring with involution * and ${\alpha},{\beta}:R{\rightarrow}R$ ring homomorphisms. An additive mapping $d:R{\rightarrow}R$ is called an $({\alpha},{\beta})^*$-derivation of R if $d(xy)=d(x){\alpha}(y^*)+{\beta}(x)d(y)$ is fulfilled for any $x,y{\in}R$, and an additive mapping $F:R{\rightarrow}R$ is called a generalized $({\alpha},{\beta})^*$-derivation of R associated with an $({\alpha},{\beta})^*$-derivation d if $F(xy)=F(x){\alpha}(y^*)+{\beta}(x)d(y)$ is fulfilled for all $x,y{\in}R$. In this note, we intend to generalize a theorem of Vukman [12], and a theorem of Daif and El-Sayiad [6], moreover, we generalize a theorem of Ali et al. [4] and a theorem of Huang and Koc [9] related to generalized Jordan triple $({\alpha},{\beta})^*$-derivations.

LINEAR 𝜃-DERIVATIONS ON JB*-TRIPLES

  • Bak, Chunkil
    • 충청수학회지
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    • 제19권1호
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    • pp.27-36
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    • 2006
  • In [1], the concept of generalized (${\theta}$, ${\phi}$)-derivations on rings was introduced. We introduce the concept of linear ${\theta}$-derivations on $JB^*$-triples, and prove the Cauchy-Rassias stability of linear ${\theta}$-derivations on $JB^*$-triples.

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키 교환 프로토콜을 이용한 디지털콘텐츠 보호 모듈 설계 (Design of Security Module using Key Exchange Protocol in Digital Contents)

  • 권도윤;이경원;김정호
    • 한국콘텐츠학회논문지
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    • 제3권3호
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    • pp.40-46
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    • 2003
  • 본 논문은 안전하지 못한 DCPS(Digital Contents Protection Systems)와 HOST 사이의 통신채널을 통해 서로 일치하는 암호 키를 생성하기 위한 공개키 적용을 위해 1차적으로 이산대수와 난수를 이용한 Diffie-Hellman 알고리즘을 적용하고, 2차적으로 키 관리 표준인 ANSI X9.17, ISO 8732와 PEM(Privacy-Enhanced Mail) 등에서 채택하고 있는 2개의 서로 다른 암호키를 통해 Triple DES를 적용하여 전송 선로상의 디지털콘텐츠의 안전한 전송을 수행한다. 이에 따라 설계한 정보보호 모듈은 Key Exchange 모듈, Key Derivation 모듈, Copy Protection Processing 모듈로 구성되었으며 사용자 인증 기능과 디지털콘텐츠 암호화 기능을 통해 인가되지 않은 사용자에 의한 디지털콘텐츠의 불법 복제 및 배포를 방지하교 전송선로상의 디지털콘텐츠를 보호할 수 있도록 하였다.

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PRODUCTS OF WHITE NOISE FUNCTIONALS AND ASSOCIATED DERIVATIONS

  • Chung, Dong-Myung;Chung, Tae-Su;Ji, Un-Cig
    • 대한수학회지
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    • 제35권3호
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    • pp.559-574
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    • 1998
  • Let the Gel'fand triple (E)$_{\beta}$/ ⊂ ( $L^2$) ⊂ (E)*$_{\beta}$/ be the framework of white noise distribution theory constructed by Kon-dratiev and Streit. A new class of continuous multiplicative products on (E)$_{\beta}$/ is introduced and associated continuous derivations on (E)$_{\beta}$/ are discussed. Algebraic characterizations of first order differential operators on (E)$_{\beta}$/ are proved. Some applications are also discussed. $\beta$/ are proved. Some applications are also discussed.

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A Study on Comparison of Satellite-Tracked Drifter Temperature with Satellite-Derived Sea Surface Temperature of NOAA/NESDIS

  • Park, Kyung-Ae;Chung, Joug-Yul;Kim, Kuh;Choi, Byung-Ho
    • 대한원격탐사학회지
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    • 제10권2호
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    • pp.83-107
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    • 1994
  • Sea surface temperatures (SSTs) estimated by using the operational SST derivation equations of NOAA/NESDIS were compared with satellite-tracked drifter temperatures. As a result of eliminating cloud-filled or contaminated pixels through several cloud tests, 69 matchup points between the drifter temperatures and the SSTs estimated with NOAA satellite 9, 10. 11 and 12 data from August, 1993 to July, 1994 were collected. Multi-channel sea surface temperature(MCSST) using a split window technique showed an approximately $1.0{\circ}C$ rms error as compared with the drifting buoy temperatures for 69 coincidences. Accuracies for satellete-derived sea surface temperatures were evaluated for only NOAA-11 AVHRR data which had relatively large matchups of 35points as compared with other satellites. For the comparison of the oberved temperatures with the calculated SSTs, linear MCSST and nonlinear cross product sea surface temperature(CPSST) algorithms by the split, the dual and the triple window technique were used respectively. As a result, the split window CPSSTs showed the smallest rms error of $0.72{\circ}C$. Defferences between the split window SSTs and the drifter temperatures appeared th have a linear tendency against the drifter temperatures and also against the differences between AVHRR channel 4 and 5 brighness temperatures. This indicates some possibilities that satelite-derived SSTs operationally calculated from the NOAA/NESDIS equation in the seas around Korea have been underestimated as compared with actural SSTs in case sea water temperature is relatively low or the atmosphere over the sea surface is very dry like in winter, while overstimated in case of high temperature or very moist atmospheric equations based on local sea measurements around Korea instead of global measurements should be derived.