• 충청수학회지
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• 제16권2호
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• pp.59-73
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• 2003

Throughout this paper, we denote that R is a near-ring and G an R-group. We initiate the study of R-substructures of G, representations of R on G, monogenic R-groups, faithful R-groups and faithful D.G. representations of near-rings. Next, we investigate some properties of monogenic near-ring groups, faithful monogenic near-ring groups, monogenic and faithful D.G. representations in near-rings.

• 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.

• 한국수산과학회지
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• 제11권4호
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• pp.243-247
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• 1978

충무부근 굴 양식장의 노화정도를 구명코져 1978년 5월부터 11월까지 진해만의 가조도부근과 고성만의 읍도부근 그리고 거제만의 어구양식장에서 저질 및 저층수의 수질을 조사한 결과를 요약하면 다음과 같다. 1. 저이중의 COD와 유화물량은 대체로 여름에 많았는데, COD는 가조도부근에서 38.1mg/g, 읍도부근에서 32.3mg/g, 그리고 어구양식장에서 25.1mg/g 이었고, 유화물량은 가조도부근에서 0.313mg/g, 읍도부근서 0.517mg/g, 그리고 어구양식장에서 0.132 mg/g 이었다. 2. 저이중의 COD와 유화물량으로 보아, 가조도 부근 양식장과 읍도부근 양식장은 다 함께 COD의 부영양 최고치인 30.0mg/g을 초과하였고, 초화물량은 상한치인 0.30mg/g을 상회하여 이미 과영양수역에 속하는 반면, 어구양식장은 비교적 양호한 편이었다. 3. 저층수의 수질은 저질처럼 양식장간의 뚜렷한 차이가 없었다. 단, 9월중 가조도부근에서 유화물이 1,07mg/l로 많은 양이었는뎨 이는 8월중에 있었던 적조의 영향 때문이라고 추측된다.

• 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 $J_2^r(S)=S{\cap}J_2^r(R)$.

• 충청수학회지
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• 제20권2호
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• pp.183-190
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• 2007

In this paper, we will introduce the noetherian quotients in R-groups, and then investigate the related substructures of the near-ring R and G and the R-group G. Also, applying the annihilator concept in R-groups and d.g. near-rings, we will survey some properties of the substructures of R and G in monogenic R-groups and faithful R-groups.

• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.401-406
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• 2008

In this paper, we will introduce the noetherian quotients in R-groups, and then investigate the related substructures of the near-ring R and G and the R-group G. Also, applying the annihilator concept in R-groups and d.g. near-rings, we will survey some properties of the substructures of R and G in monogenic Rgroups, and show that R becomes a ring for faithful monogenic R-groups with some condition.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제18권4호
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• pp.305-312
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• 2011

In this paper, we denote that R is a near-ring and G an R-group. We initiate the study of the substructures of R and G. Next, we investigate some properties of R-groups, d.g. near-rings and monogenic (R, S)-groups.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.915-923
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• 2022

The purpose of the present paper is to obtain commutativity of prime Γ-near-ring N with generalized derivations F and G with associated derivations d and h respectively satisfying one of the following conditions:(i) G([x, y]α = ±f(y)α(xoy)βγg(y), (ii) F(x)βG(y) = G(y)βF(x), for all x, y ∈ N, β ∈ Γ (iii) F(u)βG(v) = G(v)βF(u), for all u ∈ U, v ∈ V, β ∈ Γ,(iv) if 0 ≠ F(a) ∈ Z(N) for some a ∈ V such that F(x)αG(y) = G(y)αF(x) for all x ∈ V and y ∈ U, α ∈ Γ.

• Near Infrared Analysis
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• 제1권2호
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• pp.45-48
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• 2000

The effective component Ginsenoside in Ginseng has been widely used to cure some hypochondriasis and be as supplementary medicines. There are many chemical analysis methods to measure the contents of Ginsenoside in Ginseng; however, all these methods have some shortcomings such as long time, environmental pollution and damaging the samples. In this paper, it is possible to use near infrared spectroscopy to measure the content of Ginsenoside in Ginseng without destruction. As the results, Rg1, Rb1, Re and T-Saponin of Ginsenoside can be measured with the accuracy of R(0.81) SEP (1.704 mg/g), R(0.74) SEP (1.211 mg/g), R (0.78) SEP (1.049 mg/g) and R(0.84), SEP(4.537 mg/g).

• 대한수학회논문집
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• 제19권4호
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• pp.601-618
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• 2004

Throughout this paper, we will consider that R is a near-ring and G an R-group. We initiate the study of monogenic, strongly monogenic R-groups, 3 types of nonzero R-groups and their basic properties. At first, we investigate some properties of D.G. (R, S)-groups, faithful R-groups, monogenic R-groups, simple and R-simple R-groups. Next, we introduce modular right ideals, t-modular right ideals and 3 types of primitive near-rings. The purpose of this paper is to investigate some properties of primitive types near-rings and their characterizations.