• Title/Summary/Keyword: R-maps

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ADDITIVE MAPS OF SEMIPRIME RINGS SATISFYING AN ENGEL CONDITION

  • Lee, Tsiu-Kwen;Li, Yu;Tang, Gaohua
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.659-668
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    • 2021
  • Let R be a semiprime ring with maximal right ring of quotients Qmr(R), and let n1, n2, …, nk be k fixed positive integers. Suppose that R is (n1+n2+⋯+nk)!-torsion free, and that f : 𝜌 → Qmr(R) is an additive map, where 𝜌 is a nonzero right ideal of R. It is proved that if [[…[f(x), xn1], …], xnk] = 0 for all x ∈ 𝜌, then [f(x), x] = 0 for all x ∈ 𝜌. This gives the result of Beidar et al. [2] for semiprime rings. Moreover, it is also proved that if R is p-torsion, where p is a prime integer with p = Σki=1 ni and if f : R → Qmr(R) is an additive map satisfying [[…[f(x), xn1], …], xnk] = 0 for all x ∈ R, then [f(x), x] = 0 for all x ∈ R.

A NOTE ON CLARKSONS INEQUALITIES

  • Cho, Chong-Man
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.657-662
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    • 2001
  • It is proved that if for each n, $1\leqp_n\leq2 \;and \;the(p_n, p’_n)$ Clarkson inequality holds in each Banach space X$_{n}$ then the (t, t’) Clarkson inequality holds in ($\sum^\infty_{n=1}\; X_n)_r, \;the \ell^r-sum \;of\; X_n’s,\; where\; 1\leqr<\infty,\; t=min{p, r, r’} \;and \;p = \;inf{p_n}.$ The (p, p’) Clarkson inequality is preserved by quotient maps and a new proof of a Takahashi-Kato theorem stating that the (p, p’) Clarkson inequality holds in a Banach space X if and only if it holds in its dual space $X_*$ is given.n.

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FIBREWISE INFINITE SYMMETRIC PRODUCTS AND M-CATEGORY

  • Hans, Scheerer;Manfred, Stelzer
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.671-682
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    • 1999
  • Using a base-point free version of the infinite symmetric product we define a fibrewise infinite symmetric product for any fibration $E\;\longrightarrow\;B$. The construction works for any commutative ring R with unit and is denoted by $R_f(E)\;l\ongrightarrow\;B$. For any pointed space B let $G_I(B)\;\longrightarrow\;B$ be the i-th Ganea fibration. Defining $M_R-cat(B):= inf{i\midR_f(G_i(B))\longrihghtarrow\;B$ admits a section} we obtain an approximation to the Lusternik-Schnirelmann category of B which satisfies .g.a product formula. In particular, if B is a 1-connected rational space of finite rational type, then $M_Q$-cat(B) coincides with the well-known (purely algebraically defined) M-category of B which in fact is equal to cat (B) by a result of K.Hess. All the constructions more generally apply to the Ganea category of maps.

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AUTOMORPHISMS OF A WEYL-TYPE ALGEBRA I

  • Choi, Seul-Hee
    • Communications of the Korean Mathematical Society
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    • v.21 no.1
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    • pp.45-52
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    • 2006
  • Every non-associative algebra L corresponds to its symmetric semi-Lie algebra $L_{[,]}$ with respect to its commutator. It is an interesting problem whether the equality $Aut{non}(L)=Aut_{semi-Lie}(L)$ holds or not [2], [13]. We find the non-associative algebra automorphism groups $Aut_{non}\; \frac\;{(WN_{0,0,1}_{[0,1,r_1...,r_p])}$ and $Aut_{non-Lie}\; \frac\;{(WN_{0,0,1}_{[0,1,r_1...,r_p])}$ where every automorphism of the automorphism groups is the composition of elementary maps [3], [4], [7], [8], [9], [10], [11]. The results of the paper show that the F-algebra automorphism groups of a polynomial ring and its Laurent extension make easy to find the automorphism groups of the algebras in the paper.

PRINCIPAL COFIBRATIONS AND GENERALIZED CO-H-SPACES

  • Yoon, Yeon Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.1
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    • pp.129-139
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    • 2017
  • For a map $p:X{\rightarrow}A$, there are concepts of co-$H^p$-spaces, co-$T^p$-spaces, which are generalized ones of co-H-spaces [17,18]. For a principal cofibration $i_r:X{\rightarrow}C_r$ induced by $r:X^{\prime}{\rightarrow}X$ from $\imath:X^{\prime}{\rightarrow}cX^{\prime}$, we obtain some sufficient conditions to having extensions co-$H^{\bar{p}}$-structures and co-$T^{\bar{p}}$-structures on $C_r$ of co-$H^p$-spaces and co-$T^p$-structures on X respectively. We can also obtain some results about co-$H^p$-spaces and co-$T^p$-spaces in homology decompositions for spaces, which are generalizations of Golasinski and Klein's result about co-H-spaces.

A Scheme for the High Density Sensing Information to Express a Contour Plotting for Multi-scaled Maps (다양한 축척의 지도상에서 고밀도 센싱 정보의 등고선식 표출에 관한 연구)

  • Heo, Gil;Lee, Douglas;Ji, Hae sun;Oh, Jae Young;Jung, Daekyo;Kim, Yoonkee
    • Proceedings of the Korea Information Processing Society Conference
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    • 2009.04a
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    • pp.191-194
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    • 2009
  • 포털에서 제공하는 지도 서비스와 같은 지도의 축척이 변화될 수 있는 환경에서 센싱 정보의 등고선식 표출을 하기 위해서는 기존의 이미지 표출 방식이 갖는 방대한 데이터량이 문제가 된다. 본 연구에서는 센싱 정보의 지역적 집중도와 센싱 데이터의 수에 따른 효율적인 정보처리를 위하여 센싱 데이터들을 그룹핑하여 등고선 형태의 이미지를 생성하였고, 이를 서버에서 제공하는 형태를 통한 웹 포털 지도 서비스와 연계 방법을 제시하였다.

Clinical Usefulness of Arterial Spin Labeling Perfusion MR Imaging in Acute Ischemic Stroke (급성 허혈성 뇌경색 환자에서 동맥스핀표지 관류자기공명영상의 유용성)

  • Oh, Keun-Taek;Jung, Hong-Ryang;Lim, Cheong-Hwan;Cho, Young-Ki;Ha, Bon-Chul;Hong, Doung-Hee
    • Journal of radiological science and technology
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    • v.34 no.4
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    • pp.323-331
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    • 2011
  • We evaluated clinical usefulness of Arterial spin labeling perfusion MR imaging on the acute ischemic cerebral infarction patients through this study. We compared 22 patients who were done with DSC imaging and ASL imaging in admitted emergency room with acute ischemic cerebral infarction, with 36 normal comparison persons (DSC image on 21persons, ASL images on 15persons). Siemens Magnetom Verio 3.0T with 12 channel head coil was used for this study. DSC image obtained 4 maps(rCBV, rCBF, rMTT, TTP) through post-processing. For qualitative analysis we compared the area of lesion macro-diagonal with the size of diffusion weighted MR image for rMTT, TTP, rCBF, rCBV, ASL maps. For Quantitative analysis we analyzed significant correlations between less than 3 cm infarction group and normal comparison group using mean relative value of flowing image with Mann-Whitney U test. TTP(95.5%) and rCBF(95.5%) maps showed high recognition rate in qualitative analysis for >3cm infarction group. The rCBF and rCBV map tests were highly related with final stage stroke areas. Mean relative value of infarction group showed a significant correlations in quantitative analysis(p<0.05). As a conclusion, arterial spin labeling image showed high lesion recognition rate in the >3cm infarction group. Mean relative values in quantitative evaluation were used for reference data. If we do more sustainable researches, ASL image will be useful for an early diagnosis of cerebral infarction, determination of the range of ischemic pneumbra and effective treatments.

Cloning and Organization of the Ribosomal RNA Genes of the Mushroom Trichloma matsutake

  • Hwang, Seon-Kap;Kim, Jong-Guk
    • Journal of Microbiology and Biotechnology
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    • v.5 no.4
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    • pp.194-199
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    • 1995
  • A portion (7.4 kb) of ribosomal DNA tandem repeat unit from a genome of the mushroom T. matsutake has been cloned. A 1.75 kb EcoRI fragment was cloned first using S. cerevisiae 255 rRNA gene as a probe, and this was then used for further cloning. A chromosomal walking experiment was carried out and the upstream region of the 1.75 kb fragment was cloned using SmaI/BamHI enzyme, the size was estimated to be 5.2 kb in length. Part of the downstream region of the 1.75 kb fragment was also cloned using XbaI/BamHI enzymes. Restriction enzyme maps of three cloned DNA fragments were constructed. Northern hybridization, using total RNA of T. matsutake, and the restriction fragments of three cloned DNAs as probes, revealed that all four ribosomal RNA genes (large subunit[LSU], small subunit [SSU], 5.85 and 5S rRNA genes) are present in the cloned region. The gene organization of the rDNA are regarded as an intergenic spacer [IGS]2 (partial) - SSU rRNA - internal transcribed spacer [ITS]1 - 5.8S rRNA - ITS2 - LSU rRNA - IGS1 -5S rRNA - IG52 (partial).

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Application of Geostatistical Methods to Groundwater Flow Analysis in a Heterogeneous Anisotropic Aquifer (불균질.이방성 대수층의 지하수 유동분석에 지구통계기법의 응용)

  • 정상용;유인걸;윤명재;권해우;허선희
    • The Journal of Engineering Geology
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    • v.9 no.2
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    • pp.147-159
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    • 1999
  • Geostatistical methods were used for the groundwater flow analysis in a heterogeneous anisotropic aquifer. This study area is located at Sonbul-myeon in Hampyong-gun of Cheonnam Province which is a hydrogeological project area of KORES(Korea Resources Cooperation). Linear regression analysis shows that the topographic elevation and groundwater level of this area have very high correlation. Groundwater-level contour maps produced by ordinary kriging and cokringing have large differences in mountain areas, but small differences in hill and plain areas near the West Sea. Comparing two maps on the basis of an elevation contour map, a groundwater-level contour map using cokriging is more accurate. Analyzing the groundwater flow on two groundwater-level contour maps, the groundwater of study area flows from the high mountain areas to the plain areas near the West Sea. To verify the enffectiveness of geostatistical methods for the groundwater flow analysis in a heterogeneous anisotropic aquifer, the flow directions of groundwater were measured at two groundwater boreholes by a groundwater flowmeter system(model 200 $GeoFlo^{R}$). The measured flow directions of groundwater almost accord with those estimated on two groundwater-level contour maps produced by geostatistical methods.

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Effects of Parental Support, Bicultural Acceptance, and Self-Esteem on Career Attitude Maturity of Multicultural Adolescents

  • Choi, So-Yun
    • International Journal of Advanced Culture Technology
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    • v.9 no.4
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    • pp.61-70
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    • 2021
  • At a time when children of multicultural families have begun to enter adolescence in Korea, this study examined the effects of parental support and bicultural acceptance on the career attitude maturity of multicultural adolescents. This study tried to derive the implications related to the career path of multicultural adolescents by verifying the effects of self-esteem on the relationship between parental support, bicultural acceptance, and career attitude maturity. Using the 8th Multicultural Adolescent Panel Survey data (MAPS), the relative influence of antecedent variables on career attitude maturity was confirmed by hierarchical regression analysis of the data from 1,197 respondents. Model 1 included gender and parental support, Model 2 added bicultural acceptance to Model 1, and Model 3 added self-esteem to Model 2. As a result of the study, in Model 1, women had higher career attitude maturity than men, and the more supportive their parents were, the more positive the level of career attitude maturity. The adjusted R2 of Model 1 was .058, which did not have much influence. In Model 2, gender, parental support, and bicultural acceptance had statistically significant effects on career attitude maturity, and the amount of change in F was also significant. The adjusted R2 of Model 2 was .132. In Model 3, parental support was not statistically significant, and gender, bicultural acceptance, and self-esteem had statistically significant effects on career attitude maturity. The amount of change in F was statistically significant and the adjusted R2 was .185. That is, it was confirmed that the more the women, the more the bicultural acceptance, and the higher the self-esteem, the more prepared and determined the career path. Based on the research results, the implications related to career preparation of multicultural adolescents were presented.