• Title/Summary/Keyword: AGR ring

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R-HOMOMORPHISMS AND R-HOMOGENEODS MAPS

  • Cho, Yong-Uk
    • Journal of the Korean Mathematical Society
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    • v.42 no.6
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    • pp.1153-1167
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    • 2005
  • In this paper, all rings and all near-rings R are associative, all modules are right R-modules. For a near-ring R, we consider representations of R as R-groups. We start with a study of AGR rings and their properties. Next, for any right R-module M, we define a new concept GM module and investigate the commutative property of faithful GM modules and some characterizations of GM modules. Similarly, for any near-ring R, we introduce an R-group with MR-property and some properties of MR groups.

A STUDY ON R-GROUPS WITH MR-PROPERTY

  • CHO YONG UK
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.573-583
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    • 2005
  • In this paper, all near-rings R are left near-rings and all representations of R are (right) R-groups. We start with a study of AR, almost AR and AGR rings which are motivated by the works on the Sullivan's Problem [10] and its properties. Next, for any R-group G, we introduce a notion of R-groups with M R-property and investigate their properties and some characterizations of these R-groups. Finally, for the faithful M R-property, we get a commutativity of near-rings and rings.

A Study on the Evolution of 3, 4-DCA and TCAB in Some Selected Soils [Part I]-A New Method of Synthesizing $^{14}C-ring-labeled$ and Non labeled TCAB- (수종토양중(數種土壤中)에서 3, 4-DCA 및 TCAB의 변화(變化)에 관(關)한 연구(硏究)제1보(第一報)-$^{14}C$-환표식(換標識) 및 비표식(非標識) TCAB의 신합성방법(新合成方法)-)

  • Lee, Jae-Koo;Fournier, J-C.;Catroux, G.
    • Applied Biological Chemistry
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    • v.20 no.1
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    • pp.109-116
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    • 1977
  • Much attention has been paid to the fact that quite a few herbicides such as phenylcarbamates, phenylureas, and acylanilides form azo compounds known as carcinogens by virtue of the microoranisms in soil. In consequence, many investigators synthesized. TCAB, an azo compound, starting from 3,4-dichloronitrobenzene for the related studies. However, the authors were under the necessity of synthesizing $^{14}C-ring-labeled$ TCAB from $^{14}C-ring-labeled$ 3,4-DCA available, in addition to making up for the disadvantage of dechlorination in the reduction of 3,4-dichloronitrobenzene. The new method is as follows:TCAB, $^{14}C-ring-labeled$ and non-labeled, was produced by aerial oxidation of 3,4-DCA catalyzed by CuCl with pyridine as solvent at $60^{\circ}C$ for 5-12 hrs, giving 80.2% yield. The procedure forpurification was described in detail. The identities of TCAB isomers were confirmed by means of autoradiography, TLC, GLC, IR, and MS.

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Studies on Anatomical Properties of Forsythia in Korea (한국산(韓國産) 개나리속(屬)의 해부학적(解剖學的) 성질(性質)에 관한 연구(硏究))

  • Kim, Jae-Kyung;Hong, Byung-Wha
    • Journal of the Korean Wood Science and Technology
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    • v.12 no.4
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    • pp.31-35
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    • 1984
  • These experiments were carried out to investigate anatomical properties of Forsythia in Korea. The results obtained were summarized as follows: It was estimated that the vessel of cross section was almost simple pore and multiple pores which were compounded two or three units were showed sometimes and arrangement of vessel were ring porous wood. In the mean length of vessel, Forsythia koreana was ranged $539.98{\pm}154.71{\mu}$ and Forsythia ovata $602.22{\pm}157.38{\mu}$ and Forsythia nakaii T. Lee $465.50{\pm}83.02{\mu}$. In the mean length of fiber wood, Forsythia koreana $387.40{\pm}68.23{\mu}$, and Forsythia ovata was $533.90{\pm}106.77{\mu}$ and Forsythia nakaii T. Lee was $482.40{\pm}72.33{\mu}$. The type of Ray parenchyma was heterogeneous ray I tissue. The mean length of procumbent ray cell in the radial section was $42.14{\pm}8.30{\mu}$ and that of rectangle type in up right ray cell was $45.76{\pm}7.19{\mu}$ and that of square type was $26.66{\pm}2.99{\mu}$. The mean height of ray parenchyma in the tangential section was $174.80{\pm}37.51{\mu}$ and the width of ray parenchyma was $17.25{\pm}3.59{\mu}$ and the mean number of ray parenchyma was $14{\pm}3$.

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