• 대한수학회보
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• 제60권2호
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• pp.475-484
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• 2023

Let R be a commutative ring with identity. In this paper, we characterize the prime submodules of a free R-module F of finite rank with at most n generators, when R is a GCD domain. Also, we show that if R is a Bézout domain, then every prime submodule with n generators is the row space of a prime matrix. Finally, we study the existence of primary decomposition of a submodule of F over a Bézout domain and characterize the minimal primary decomposition of this submodule.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권4호
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• pp.429-442
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• 2023

In this paper, we introduce the concept of fuzzy ideals, anti-fuzzy ideals of Γ-BCK-algebras. We study the properties of fuzzy ideals, anti-fuzzy ideals of Γ-BCK-algebras. We prove that if f^-1(µ) is a fuzzy ideal of M, then µ is a fuzzy ideal of N, where f : M → N is an epimorphism of Γ-BCK-algebras M and N.

• 한국가금학회지
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• 제19권4호
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• pp.187-195
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• 1992

본 연구는 난용종 순종계의 특정 집단의 주요 경제형질에 대한 단기 산란검정기록을 이용하여 유전적 개량량을 추정하기 위해 수행하였다. 통계분석에 이용된 자료는 단관 백색 레그혼종 F, K 계통에 대한 1986년부터 1991년까지 6세대간 선발결과의 기록으로서 주요 선발형질은 270일령 산란수, 시산일령, 270일령 난중 및 체중으로 분석한 결과는 다음과 같다. 1. 각 계통별 평균능력을 보면 시산일령은 매 세대당 1.94일(K) 1.32일(F)씩 감소되었고 체중은 15.39(K), 16.5g(F)씩 감소되었다. 난중은 0.09(K), -0.05g(F)씩 증가되었고 산란수는 0.56(K), -0.78(F)의 증가를 보였다. 2. 조사형질 모두의 예상 선발차에 대한 실현 선발차의 비율이 세대경과에 따라 유의하게 감소되지 않았다. 3. 분산성분에 의한 유전모수는 시산일령이 평균 0.28(F), 0.40(K), 270일령 체중이 0.29(F), 0.39(K), 산란수 (270일)가 0.25(F), 0.29(K), 270일령 난중이 0.51(F), 0.48(K)으로 추정되었다. 4. 세대당 유전적 개량은 F, K 계통 모두 일정한 경향치를 보이지 않았고 시산일령이 -2.46(F), -1.94(K), 산란수 2.01(F), 2.25(K), 270일령 난중이 0.54(F), 0.64(K)으로 추정되었다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제11권4호
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• pp.337-348
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• 2004

In this paper, we suggest and analyze Noor (three-step) iterative scheme for solving nonlinear strongly accretive operator equation Tχ = f. The results obtained in this paper represent an extension as well as refinement of previous known results.

• 한국음향학회:학술대회논문집
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• 한국음향학회 1994년도 FIFTH WESTERN PACIFIC REGIONAL ACOUSTICS CONFERENCE SEOUL KOREA
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• pp.879-884
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• 1994

This paper reports on several experiments carried out to find the effects of intensity difference on duration discrimination in pairs of pure tones. Pure-tone signals were presented with the modification of amplitude and duration. Duration-discrimination thresholds for the musical tones and the signals that were varied in amplitude were investigated together with those of the fixed signals. From the results, it was found that the duration discrimination tasks are affected by an intensity difference of 20 phons.

• 대한수학회논문집
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• 제31권3호
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• pp.495-505
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• 2016

Let $f:{\mathbb{R}}^3{\rightarrow}{\mathbb{R}}$. In this paper we prove the stability of functional inequalities ${\mid}f(ux+vy,uy-vx,zw)-f(x,y,z)f(u,v,w){\mid}{\leq}{\phi}(u,v,w)$ or ${\phi}(x,y,z)$, ${\mid}f(ux-vy,uy-vx,zw)-f(x,y,z)f(u,v,w){\mid}{\leq}{\phi}(u,v,w)$ or ${\phi}(x,y,z)$ for all $x,y,z,u,v,w{\in}{\mathbb{R}}$. Furthermore, we give refined descriptions of bounded functions satisfying the inequalities as in Albert and Baker [1].

• 식물병연구
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• 제21권3호
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• pp.227-230
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• 2015

The ascomycete fungus Fusarium fujikuroi causes bakanae disease in rice and this disease has been reemerging in Korea. Other fungal species including F. graminearum and Magnaporthe oryzae are often associated with F. fujikuroi, hampering pure isolation of F. fujikuroi from rice. In this study, we modified a selective medium for F. fujikuroi as supplementing both pentachloronitrobenzene and hydrogen peroxide into minimal medium. This medium efficiently suppressed the vegetative growth of F. graminearum and M. oryzae, but did not significantly reduce F. fujikuroi growth, providing an efficient tool for isolating F. fujikuroi.

• Kyungpook Mathematical Journal
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• 제56권3호
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• pp.819-829
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• 2016

In this paper, we study the order of growth of solutions to the non-homogeneous linear differential equation $$f^{(k)}+A_{k-1}e^{az}f^{(k-1)}+{\cdots}+A_1e^{az}f^{\prime}+A_0e^{az}f=F_1e^{az}+F_2e^{bz}$$, where $A_j(z)$ (${\not\equiv}0$) ($j=0,1,{\cdots},k-1$), $F_j(z)$ (${\not\equiv}0$) (j = 1, 2) are entire functions and a, b are complex numbers such that $ab(a-b){\neq}0$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제28권4호
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• pp.387-398
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• 2021

In this paper, we will find solutions and investigate the superstability bounded by constant for the p-radical functional equations as follows: $f\(\sqrt[p]{\frac{x^p+y^p}{2}}\)^2-f\(\sqrt[p]{\frac{x^p-y^p}{2}}\)^2=\;\{(i)\;f(x)f(y),\\(ii)\;g(x)f(y),\\(iii)\;f(x)g(y),\\(iv)\;g(x)g(y).$ with respect to the sine functional equation, where p is an odd positive integer and f is a complex valued function. Furthermore, the results are extended to Banach algebra.

• 한국재료학회지
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• 제28권8호
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• pp.435-439
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• 2018

MA Al alloys are examined to determine the effects of alloying of Mg and Cu and rolling on tensile deformation behavior at 748 K over a wide strain rate range($10^{-4}-10^3/s$). A powder metallurgy aluminum alloy produced from mechanically alloyed pure Al powder exhibits only a small elongation-to-failure(${\varepsilon}_f$ < ~50%) in high temperature(748 K) tensile deformation at high strain rates(${\acute{\varepsilon}}=1-10^2/s$). ${\varepsilon}_f$ in MA Al-0.5~4.0Mg alloys increases slightly with Mg content(${\varepsilon}_f={\sim}140%$ at 4 mass%). Combined addition of Mg and Cu(MA Al-1.5%Mg-4.0%Cu) is very effective for the occurrence of superplasticity(${\varepsilon}_f$ > 500%). Warm-rolling(at 393-492 K) tends to raise ${\varepsilon}_f$. Lowering the rolling-temperature is effective for increasing the ductility. The effect is rather weak in MA pure Al and MA Al-Mg alloys, but much larger in the MA Al-1.5%Mg-4.0%Cu alloy. Additions of Mg and Cu and warm-rolling of the alloy cause a remarkable reduction in the logarithm of the peak flow stress at low strain rates (${\acute{\varepsilon}}$< ~1/s) and sharpening of microstructure and smoothening of grain boundaries. Additions of Mg and Cu make the strain rate sensitivity(the m value) larger at high strain rates, and the warm-rolling may make the grain boundary sliding easier with less cavitation. Grain boundary facets are observed on the fracture surface when ${\varepsilon}_f$ is large, indicating the operation of grain boundary sliding to a large extent during superplastic deformation.