• 제목/요약/키워드: J2G

검색결과 5,035건 처리시간 0.035초

Two More Radicals for Right Near-Rings: The Right Jacobson Radicals of Type-1 and 2

  • Rao, Ravi Srinivasa;Prasad, K. Siva
    • Kyungpook Mathematical Journal
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    • 제46권4호
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    • pp.603-613
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    • 2006
  • Near-rings considered are right near-rings and R is a near-ring. $J_0^r(R)$, the right Jacobson radical of R of type-0, was introduced and studied by the present authors. In this paper $J_1^r(R)$ and $J_2^r(R)$, the right Jacobson radicals of R of type-1 and type-2 are introduced. It is proved that both $J_1^r$ and $J_2^r$ are radicals for near-rings and $J_0^r(R){\subseteq}J_1^r(R){\subseteq}J_2^r(R)$. Unlike the left Jacobson radical classes, the right Jacobson radical class of type-2 contains $M_0(G)$ for many of the finite groups G. Depending on the structure of G, $M_0(G)$ belongs to different right Jacobson radical classes of near-rings. Also unlike left Jacobson-type radicals, the constant part of R is contained in every right 1-modular (2-modular) right ideal of R. For any family of near-rings $R_i$, $i{\in}I$, $J_{\nu}^r({\oplus}_{i{\in}I}R_i)={\oplus}_{i{\in}I}J_{\nu}^r(R_i)$, ${\nu}{\in}\{1,2\}$. Moreover, under certain conditions, for an invariant subnear-ring S of a d.g. near-ring R it is shown that $J_2^r(S)=S{\cap}J_2^r(R)$.

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On the spectral rigidity of almost isospectral manifolds

  • Pak, Hong-Kyung
    • 대한수학회보
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    • 제29권2호
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    • pp.237-243
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    • 1992
  • Let (M, g, J) be a closed Kahler manifold of complex dimension m > 1. We denote by Spec(M,g) the spectrum of the real Laplace-Beltrami operator. DELTA. acting on functions on M. The following characterization problem on the spectral rigidity of the complex projective space (CP$^{m}$ , g$_{0}$ , J$_{0}$ ) with the standard complex structure J$_{0}$ and the Fubini-Study metric g$_{0}$ has been attacked by many mathematicians : if (M,g,J) and (CP$^{m}$ ,g$_{0}$ ,J$_{0}$ ) are isospectral then is it true that (M,g,J) is holomorphically isometric to (CP$^{m}$ ,g$_{0}$ ,J$_{0}$ )\ulcorner In [BGM], [LB], it is proved that if (M,J) is (CP$^{m}$ , J$_{0}$ ) then the answer to the problem is affirmative. Tanno ([Ta]) has proved that the answer is affirmative if m .leq. 6. Recently, Wu([Wu]) has showed in a more general sense that if (M, g) and (CP$^{m}$ ,g$_{0}$ ) are (-4/m)-isospectral, m .geq. 4, and if the second betti number b$_{2}$(M) is equal to b$_{2}$(CP$^{m}$ ).

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유통중인 발아현미밥의 품질특성 (Quality Properties of Cooked Germinated-brown Rice)

  • 박종대;최봉규;금준석;이현유
    • 한국식품저장유통학회지
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    • 제12권2호
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    • pp.101-106
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    • 2005
  • 시중에 유통중인 발아현미 무균포장밥 제품 2종을 대상으로 품질특성을 조사하였다. 수분함량은 $64.5\%$였으며 주요 유리당은 glucose, sucrose, maltose로 A 제품은 glucose가 $0.20\%$, B 제품은 sucrose 함량이 $0.50\%$로 각각 가장 많았다. 발아현미밥의 백색도는 69.32로 B 제품이 높았으며, vitamin E 함량은 A 제품이 $30.7\;{\mu}g/100g$, B제품이 $46.9\;{\mu}g/100g$이었고, 식이섬유 함량은 A 제품이 $2.8\%$, B 제품이 $2.2\%$로 분석되었다. DSC 특성에서는 두 제품이 전반적으로 유사한 경향을 나타내었다. 즉, peak 1의 호화개시온도는 각각 $56.5^{\circ}C$, $56.2^{\circ}C$ 호화엔탈피는 5.46 J/g, 5.56 J/g이었다. Peak 2의 호화개시온도는 $109.5^{\circ}C$, $108.9^{\circ}C$이고 용융엔탈피는 0.33 J/g, 0.37 J/g였다. 관능평가 결과에서는 외관, 맛, 조직감에서 높은평가를 받은 B 제품이 더 양호한 전반적기호도를 나타내었다.

그룹 G상의 일반화된 하다마드 행렬을 이용한 \ulcorner 상의 일반화된 하다마드 행렬의 확장 (Expanding Generalized Hadamard Matrices over Gm by Using Generalized Hadamard Matrices over G)

  • 노종선
    • 한국통신학회논문지
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    • 제25권10A호
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    • pp.1560-1565
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    • 2000
  • Over an additive abelian group G of order g and for a given positive integer λ, a generalized Hadamard matrix GF(g,λ) is defined as a gλ$\times$gλ matrix [h(i,j)] where 1$\leq$i$\leq$gλ,1$\leq$j$\leq$gλ, such that every element of G appears exactly λ times in the list h(i$_1$,1)-h(i$_2$,1), h(i$_1$,2)-h(i$_2$,2),...,h(i$_1$,gλ)-h(i$_2$, gλ) for any i$\neq$j. In this paper, we propose a new method of expanding a GH(\ulcorner,λ$_1$) = B = \ulcorner over G by replacing each of its m-tuple \ulcorner with \ulcorner GH(g,λ$_2$) where m=gλ$_2$. We may use \ulcornerλ$_1$(not necessarily all distinct) GH(g,λ$_2$)'s for the substitution and the resulting matrix is defined over the group of order g.

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Polyvinyl alcohol 이용 공생균 Pseudomonas sp. J2W와 Xanthomonas sp. J2Y의 특성 (Characteristics of the symbionts Pseudomonas sp. J2W strain and Xanthomonas sp. J2Y strain which utilize polyvinyl alcohol)

  • 조윤래
    • Applied Biological Chemistry
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    • 제35권1호
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    • pp.30-35
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    • 1992
  • Polyvinyl alcohol(PVA)을 탄소원으로 이용할 수 있는 세균 J2W 균주와 J2Y균주를 토양으로 부터 분리하였다. 분리된 이들 균주는 각각 별도의 순수배양으로는 PVA를 이용할 수 없었으나 이들 균주를 혼합배양 하였을 경우는 PVA를 분해 이용할 수 있었으며, 또한 PVA의 중합도(중합도 500, 1500, 2000)에 관계없이 이용할 수 있었다. 이들 두 균주는 다른 PVA 이용 공생균주 Pseudomonas PW와 Pseudomonas G5Y와 재구성하여 혼합배양 하였을 때 J2Y균주와 Pseudomonas PW, J2W 균주와 Pseudomonas G5Y 균주와의 혼합배양에서는 PVA를 이용할 수 있었다. 이들 두 균주는 동정 결과 J2W균주는 Pseudomons pseudomallei 근연균으로, J2Y는 Xanthomonas campestris 근연균으로 동정되었다.

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CRITICAL METRICS ON NEARLY KAEHLERIAN MANIFOLDS

  • Pak, Jin-Suk;Yoo, Hwal-Lan
    • 대한수학회보
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    • 제29권1호
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    • pp.9-13
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    • 1992
  • In this paper, we consider the function related with almost hermitian structure on a copact complex manifold. More precisely, on a 2n-diminsional complex manifold M admitting 2-form .ohm. of rank 2n everywhere, assume that M admits a metric g such that g(JX, JY)=g(X,Y), that is, assume that g defines an hermitian structure on M admitting .ohm. as fundamental 2-form-the 'almost complex structure' J being determined by g and .ohm.:g(X,Y)=.ohm.(X,JY). We consider the function I(g):=.int.$_{M}$ $N^{2}$d $V_{g}$, where N is the norm of Nijenhuis tensor N defined by (J,g). by (J,g).

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Special Right Jacobson Radicals for Right Near-rings

  • Rao, Ravi Srinivasa;Prasad, Korrapati Siva
    • Kyungpook Mathematical Journal
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    • 제54권4호
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    • pp.595-606
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    • 2014
  • In this paper three more right Jacobson-type radicals, $J^r_{g{\nu}}$, are introduced for near-rings which generalize the Jacobson radical of rings, ${\nu}{\in}\{0,1,2\}$. It is proved that $J^r_{g{\nu}}$ is a special radical in the class of all near-rings. Unlike the known right Jacobson semisimple near-rings, a $J^r_{g{\nu}}$-semisimple near-ring R with DCC on right ideals is a direct sum of minimal right ideals which are right R-groups of type-$g_{\nu}$, ${\nu}{\in}\{0,1,2\}$. Moreover, a finite right $g_2$-primitive near-ring R with eRe a non-ring is a near-ring of matrices over a near-field (which is isomorphic to eRe), where e is a right $g_2$-primitive idempotent in R.

Graph Equations Involving Tensor Product of Graphs

  • Patil, H.P.;Raja, V.
    • Kyungpook Mathematical Journal
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    • 제57권2호
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    • pp.301-307
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    • 2017
  • In this paper, we solve the following four graph equations $L^k(G)=H{\oplus}J$; $M(G)=H{\oplus}J$; ${\bar{L^k(G)}}=H{\oplus}J$ and ${\bar{M(G)}}=H{\oplus}J$, where J is $nK_2$ for $n{\geq}1$. Here, the equality symbol = means the isomorphism between the corresponding graphs. In particular, we shall obtain all pairs of graphs (G, H), which satisfy the above mentioned equations, upto isomorphism.

Hepatoprotective activity of methanol extracts of Berberis tinctoria

  • P, Vijayan;HC, Prashanth;Vijayaraj, Preethi;H, Raghu Chandrashekhar;Godavarthi, Ashok;SA, Dhanaraj
    • Advances in Traditional Medicine
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    • 제6권1호
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    • pp.45-52
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    • 2006
  • The methanol extracts of the roots, root bark and stem of Berberis tinctoria, were investigated for their hepatoprotective activity against carbon tetrachloride $(CCl_4)$ induced toxicity in freshly isolated rat hepatocytes, HEp-G2 cells and animal models. The methanol extracts were able to significantly normalise the levels of aspartate amino transferase, alanine aminotransferase, alkaline phosphatase, triglycerides, total proteins, albumin, total bilirubin and direct bilirubin, which were altered due to $CCl_4$ intoxication in freshly isolated rat hepatocytes and also in animal models. The anti-hepatotoxic effect of the methanol extracts in vitro were observed at $600\;-\;1,000\;{\mu}g/ml$ concentrations. A dose dependent increase in the percentage viability was observed when $CCl_4$ exposed HEp-G2 cells were treated with different concentrations of the methanol extracts. The highest percentage viability of HEp-G2 was observed at a concentration of $1,000\;{\mu}g/ml$. The results from the present investigations also indicate good correlation between the in vivo and in vitro studies.

실험관 및 생체내에서 U-87 교모세포종 세포주의 광역학 치료 효과에 대한 연구 (in vitro and in vivo Photodynamic Activity Study of U-87 Human Glioma Cell with Photofrin)

  • 조우진;조경근;지철;박성찬;박해관;강준기;최창락
    • Journal of Korean Neurosurgical Society
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    • 제30권5호
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    • pp.553-560
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    • 2001
  • Objective : The objective of this study was to determine the photodynamic therapeutic response of U-87 human glioma cell in vitro as well as in the nude rat xenograft model using photofrin as photosensitizer. Material and Method : U-87 cells were cultured on 96-well culture plates, photofrin(Quadralogic Technologies Inc., Vancouver, Canada) was added into the cell culture medium at concentration of $1{\mu}g/ml$, $2.5{\mu}g/ml$, $5{\mu}g/ml$, $10{\mu}g/ml$ and $20{\mu}g/ml$. 24 hour after drug treatment, cells were treated with optical(632nm) irradiation of $100mJ/cm^2$, $200mJ/cm^2$ and $400mJ/cm^2$. Photofrin(12.5mg/kg, i.p.) was administered to 28 nude rats containing intracerebral U-87 human glioma as well as 26 normal nude rats. 48 hours after administration, animals were treated with optical irradiation(632nm) of $35J/cm^2$, $140J/cm^2$ and $280J/cm^2$ to exposed tumor and normal brain. The photofrin concentration was measured in tumor and normal brain in a separate population of animals. Results : By MTT assay, there was 100% cytotoxicity at any dose of photofrin with optical irradiation of $200mJ/cm^2$ and $400mJ/cm^2$. But at the optical irradiation of $100mJ/cm^2$ cells were killed in dose dependent manner 28.5%, 49.1%, 54.4%, 78.2%, and 84.6% at concentration of $1{\mu}g/ml$, $2.5{\mu}g/ml$, $5{\mu}g/ml$, $10{\mu}g/ml$ and $20{\mu}g/ml$, respectively. Dose dependent PDT lesions in both tumor and normal brain were observed. In the tumor lesion, only superficial tissue damage was found with optical irradiation of $35J/cm^2$. However, in the optical irradiation group of $140J/cm^2$ and $280J/cm^2$ the volume of lesions was measured of $7.2mm^3$ and $14.0mm^3$ for treatment at $140J/cm^2$ and $280J/cm^2$, respectively. The U-87 bearing rats showed a photofrin concentration in tumor tissue of $6.53{\pm}2.16{\mu}g/g$, 23 times higher than that found in the contralateral hemisphere of $0.28{\pm}0.15{\mu}g/g$. Conclusion : Our data indicate that the U-87 human glioma in vitro and in the xenografted rats is responsive to PDT. At these doses, a reproducible injury can be delivered to human glioma in this model. Strategies to spare the normal brain collateral damage are being studied.

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