• Kyungpook Mathematical Journal
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• 제62권1호
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• pp.1-28
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• 2022

In this paper, we define the G-Brauer algebras $D^G_f(x)$, where G is a cyclic group, called cyclic G-Brauer algebras, as the linear span of r-signed 1-factors and the generalized m, k signed partial 1-factors is to analyse the multiplication of basis elements in the quotient $^{\rightarrow}_{I_f}^G(x,2k)$. Also, we define certain symmetric matrices $^{\rightarrow}_T_{m,k}^{[\lambda]}(x)$ whose entries are indexed by generalized m, k signed partial 1-factor. We analyse the irreducible representations of $D^G_f(x)$ by determining the quotient $^{\rightarrow}_{I_f}^G(x,2k)$ of $D^G_f(x)$ by its radical. We also find the eigenvalues and eigenspaces of $^{\rightarrow}_T_{m,k}^{[\lambda]}(x)$ for some values of m and k using the representation theory of the generalised symmetric group. The matrices $T_{m,k}^{[\lambda]}(x)$ whose entries are indexed by generalised m, k signed partial 1-factors, which helps in determining the non semisimplicity of these cyclic G-Brauer algebras $D^G_f(x)$, where G = ℤ_r.

• 한국지반공학회논문집
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• 제19권1호
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• pp.21-29
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• 2003

본 논문에서는 원심모형실험 결과와 국내.외 현장자료를 바탕으로 연약지반에 시공된 교대말뚝기초의 측방이동 발생 가능성을 판정할 수 있는 기준을 비교.검토하였다. 이를 위해 교대말뚝기초의 측방이동에 가장 중요한 영향을 미치는 변수로서 지반조건과 성토지반 시공속도를 선정하여 총 6 종류의 원심모형실험을 실시하였다. 본 실험에서는 점성토 지반의 과잉간극수압과 지표 침하량, 교대말뚝기초의 수평변위와 휨변형, 교대말뚝기초에 작용하는 측방유동압을 성토하중 재하단계와 성토 후 80% 이상 압밀이 진행된 단계에서 측정하였으며 그 결과를 토대로 교대말뚝기초의 측방이동 판정기준을 분석하였다. 또한 원심모형실험 결과와 더불어 국내.외 현장자료를 조사 및 수집하여 교대말뚝기초의 측방이동 판정기준으로 일본 도로공단에서 제시한 측방이동지수(F)와 한국도로공사에서 제시한 수정 I지수($M_I$)에 대하여 그 타당성을 검토하였다. 그 결과 교대말뚝기초의 측방이동 판정기준으로 측방이동지수(F)는 0.03, 수정 I지수($M_I$)는 2.00으로 한계값을 수정하는 것이 타당한 것으로 나타났다.

• 한국균학회지
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• 제19권3호
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• pp.214-219
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• 1991

1. 표고버섯, L. edodes 중의 adenosine-5'-triphosphatase를 황산암모늄 30% 포화로 분별침전 및 Sephadex G-200 겔 여과로 정제하였다. 2. 이 버섯 중에는 3종류의 단백질 분획과 adenosine-5'-triphosphate 기질에 대한 두 종류의 활성분획 I, II, III 및 IV를 얻었다. 3. 활성분획 II를 정제하여 얻은 이 효소의 최적 pH 및 최적 온도는 각각 7.6 및 $58^{\circ}C$였고, 열 안정성은 $20-40^{\circ}C$에서 30분 동안 안정하였다. 이 효소의 Km값은 1.81mM이었다.

• 대한수학회보
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• 제53권2호
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• pp.387-398
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• 2016

Let X be a vector space over a field K of real or complex numbers and $k{\in}{\mathbb{N}}$. We prove the superstability of the following generalized Golab-Schinzel type equation $f(x_1+{\limits\sum_{i=2}^p}x_if(x_1)^kf(x_2)^k{\cdots}f(x_{i-1})^k)={\limits\prod_{i=1}^pf(x_i),x_1,x_2,{\cdots},x_p{\in}X$, where $f:X{\rightarrow}K$ is an unknown function which is hemicontinuous at the origin.

• 호남수학학술지
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• 제28권2호
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• pp.197-204
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• 2006

For the evaluation algebra $F[e^{{\pm}{\chi}}]_M$, if M={$\partial$}, the automorphism group $Aut_{non}$($F[e^{{\pm}{\chi}}]_M$) and $Der_{non}$($F[e^{{\pm}{\chi}}]_M$) of the evaluation algebra $F[e^{{\pm}{\chi}}]_M$ are found in the paper [12]. For M={${\partial}^n$}, we find $Aut_{non}$($F[e^{{\pm}{\chi}}]_M$) and $Der_{non}$($F[e^{{\pm}{\chi}}]_M$) of the evaluation algebra $F[e^{{\pm}{\chi}}]_M$ in this paper. We show that a derivation of some non-associative algebra is not inner.

• Journal of applied mathematics & informatics
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• 제30권3_4호
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• pp.517-529
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• 2012

In this paper, the existence theorem of two positive solutions is established for nonlinear m-point boundary value problem by using an inequality for the following third-order differential equations $$({\phi}(u^{\prime\prime}))^{\prime}+a(t)f(t,u(t))=0,\;t{\in}(0,1)$$, $${\phi}(u^{\prime\prime}(0))=\sum^{m-2}_{i=1}a_i{\phi}(u^{\prime\prime}({\xi}_i)),\;u^{\prime}(1)=0,\;u(0)=\sum^{m-2}_{i=1}b_iu({\xi}_i)$$, where ${\phi}:R{\rightarrow}R$ is an increasing homeomorphism and homomorphism and $\phi(0)=0$. The nonlinear term f may change sign, as an application, an example to demonstrate our results is given.

• Korean Journal of Mathematics
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• 제21권4호
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• pp.463-471
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• 2013

Let R be a ring with identity 1, $I(R){\neq}\{0\}$ be the set of all nonunit idempotents in R, and M(R) be the set of all primitive idempotents and 0 of R. We say that I(R) is additive if for all e, $f{\in}I(R)$ ($e{\neq}f$), $e+f{\in}I(R)$. In this paper, the following are shown: (1) I(R) is a finite additive set if and only if $M(R){\backslash}\{0\}$ is a complete set of primitive central idempotents, char(R) = 2 and every nonzero idempotent of R can be expressed as a sum of orthogonal primitive idempotents of R; (2) for a regular ring R such that I(R) is a finite additive set, if the multiplicative group of all units of R is abelian (resp. cyclic), then R is a commutative ring (resp. R is a finite direct product of finite field).

• 대한수학회보
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• 제56권6호
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• pp.1385-1422
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• 2019

Let p be an odd prime. The algebraic structure of all negacyclic codes of length $8_{p^s}$ over the finite commutative chain ring ${\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}$ where $u^2=0$ is studied in this paper. Moreover, we classify all negacyclic codes of length $8_{p^s}$ over ${\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}$ into 5 cases, i.e., $p^m{\equiv}1$ (mod 16), $p^m{\equiv}3$, 11 (mod 16), $p^m{\equiv}5$, 13 (mod 16), $p^m{\equiv}7$, 15 (mod 16) and $p^m{\equiv}9$ (mod 16). From that, the structures of dual and some self-dual negacyclic codes and number of codewords of negacyclic codes are obtained.

• Kyungpook Mathematical Journal
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• 제50권4호
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• pp.455-463
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• 2010

The differentiable manifold with f - structure were studied by many authors, for example: K. Yano [7], Ishihara [8], Das [4] among others but thus far we do not know the geometry of manifolds which are endowed with special polynomial $F_{a(j){\times}(j)$-structure satisfying $$\prod\limits_{j=1}^{k}\;[F^2+a(j)F+\lambda^2(j)I]\;=\;0$$ However, special quadratic structure manifold have been defined and studied by Sinha and Sharma [8]. The purpose of this paper is to study the geometry of differentiable manifolds equipped with such structures and define special polynomial structures for all values of j = 1, 2,$\ldots$,$K\;\in\;N$, and obtain integrability conditions of the distributions $\pi_m^j$ and ${\pi\limits^{\sim}}_m^j$.

• Kyungpook Mathematical Journal
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• 제32권1호
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• pp.21-30
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• 1992