• 호남수학학술지
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• 제31권4호
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• pp.515-527
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• 2009

Let R be a commutative ring with identity. Then we prove $M_n(R)=GL_n(R)$ ${\cup}${$A{\in}M_n(R)\;{\mid}\;detA{\neq}0$ and det $A{\neq}U(R)$}${\cup}Z(M-n(R))$ where U(R) denotes the set of all units of R. In particular, it will be proved that the full matrix ring $M_n(F)$ over a field F is the disjoint union of the general linear group $GL_n(F)$ of degree n over the field F and the set $Z(M_n(F))$ of all zero-divisors of $M_n(F)$. Using the result and universal mapping property we prove that $M_n(F)$ is its total ring of fractions.

• 대한수학회논문집
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• 제38권1호
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• pp.121-122
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• 2023

In this erratum, we correct a mistake in the proof of Proposition 2.7. In fact the equivalence (3) ⇐ (4) "R is a quasi-regular ring if and only if R is a reduced ring and every principal ideal contained in Z(R) is a 0-ideal" does not hold as we only have Rx ⊆ O(S).

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2008년도 추계학술발표대회
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• pp.1012-1015
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• 2008

The packet capturing becomes a bottleneck in the network intrusion detection and monitoring system as the network performance developing. Many approaches, zero copy, interrupt coalescing and NAPI which attempt to improve packet capturing performance of Linux, are inefficient. PF_RING is a new type of network socket that dramatically improves the packet capture speed, but not perfect. This paper proposes some solutions which can improve the memory utilization and save some data copy time based on the commodity network adapters rather than on the commercial network adapters.

• 대한수학회논문집
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• 제39권3호
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• pp.563-574
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• 2024

Given a sequence of point blow-ups of smooth n-dimensional projective varieties Z_i defined over an algebraically closed field $k,\,Z_s\,{\overset{{\pi}_s}{\longrightarrow}}\,Z_{s-1}\,{\overset{{\pi}_{s-1}}{\longrightarrow}}\,{\cdots}\,{\overset{{\pi}_2}{\longrightarrow}}\,Z_1\,{\overset{{\pi}_1}{\longrightarrow}}\,Z_0$, with Z₀ ≅ ℙⁿ, we give two presentations of the Chow ring A^•(Z_s) of its sky. The first one uses the classes of the total transforms of the exceptional components as generators and the second one uses the classes of the strict transforms ones. We prove that the skies of two sequences of point blow-ups of the same length have isomorphic Chow rings. Finally we give a characterization of the final divisors of a sequence of point blow-ups in terms of some relations defined over the Chow group of zero-cycles A₀(Z_s) of its sky.

• 호남수학학술지
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• 제27권1호
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• pp.1-8
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• 2005

Let R be a commutative ring with non-zero identity. This paper is devoted to the study some of properties of the product of submodules of a multiplication module. Suppose N is a submodule of a multiplication R-module M. We give a condition which allows us to determine whether N is finitely generated when we assume some power of N is finitely generated.

• Kyungpook Mathematical Journal
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• 제51권3호
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• pp.339-344
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• 2011

Let D be an integral domain with quotient field K, X be an indeterminate over D, and D[X] be the polynomial ring over D. A prime ideal Q of D[X] is called an upper to zero in D[X] if Q = fK[X] ${\cap}$ D[X] for some f ${\in}$ D[X]. In this paper, we study integral domains D such that every upper to zero in D[X] contains a prime element (resp., a primary element, a t-invertible primary ideal, an invertible primary ideal).

• 대한수학회보
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• 제47권2호
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• pp.385-399
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• 2010

Let $\sigma$ be an endomorphism and I a $\sigma$-ideal of a ring R. Pearson and Stephenson called I a $\sigma$-semiprime ideal if whenever A is an ideal of R and m is an integer such that $A{\sigma}^t(A)\;{\subseteq}\;I$ for all $t\;{\geq}\;m$, then $A\;{\subseteq}\;I$, where $\sigma$ is an automorphism, and Hong et al. called I a $\sigma$-rigid ideal if $a{\sigma}(a)\;{\in}\;I$ implies a $a\;{\in}\;I$ for $a\;{\in}\;R$. Notice that R is called a $\sigma$-semiprime ring (resp., a $\sigma$-rigid ring) if the zero ideal of R is a $\sigma$-semiprime ideal (resp., a $\sigma$-rigid ideal). Every $\sigma$-rigid ideal is a $\sigma$-semiprime ideal for an automorphism $\sigma$, but the converse does not hold, in general. We, in this paper, introduce the quasi $\sigma$-rigidness of ideals and rings for an automorphism $\sigma$ which is in between the $\sigma$-rigidness and the $\sigma$-semiprimeness, and study their related properties. A number of connections between the quasi $\sigma$-rigidness of a ring R and one of the Ore extension $R[x;\;{\sigma},\;{\delta}]$ of R are also investigated. In particular, R is a (principally) quasi-Baer ring if and only if $R[x;\;{\sigma},\;{\delta}]$ is a (principally) quasi-Baer ring, when R is a quasi $\sigma$-rigid ring.

• 대한수학회지
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• 제49권1호
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• pp.85-98
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• 2012

Let R be a commutative ring and I its proper ideal, let S(I) be the set of all elements of R that are not prime to I. Here we introduce and study the total graph of a commutative ring R with respect to proper ideal I, denoted by T(${\Gamma}_I(R)$). It is the (undirected) graph with all elements of R as vertices, and for distinct x, y ${\in}$ R, the vertices x and y are adjacent if and only if x + y ${\in}$ S(I). The total graph of a commutative ring, that denoted by T(${\Gamma}(R)$), is the graph where the vertices are all elements of R and where there is an undirected edge between two distinct vertices x and y if and only if x + y ${\in}$ Z(R) which is due to Anderson and Badawi [2]. In the case I = {0}, $T({\Gamma}_I(R))=T({\Gamma}(R))$; this is an important result on the definition.

• 대한의용생체공학회:의공학회지
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• 제16권3호
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• pp.325-330
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• 1995

혈압에 의한 안쪽벽의 변형을 집중현상으로 인한 동백 전단부의 변형율 gradient의 심각성은 잔유 변형율에 의해 감소되거나 없을 수 있다는 가정을 실험적으로 시도했다. 잔유변형율과 압력에 의한 변형율을 측정하여 잔유변형율이 원주변형율에 끼치는 영향을 알아 보았다. 결과로서 변형율 gradient를 줄이거나 없을수도 있으나 negative gardient가 평균적으로 나타났다. 즉 전체변형율(원주변형율+잔유변형율)은 안쪽벽이 낮고 바깥쪽이 높은 것으로 나타났다.

• 융합신호처리학회논문지
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• 제11권1호
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• pp.63-73
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• 2010

본 논문에서는 위치 불확실성이 최소화되도록 중첩 초음파 센서 링을 최적 설계하는 방법과 이를 향상된 해상도의 장애물 탐지에 응용하는 방안에 대해 기술하도록 한다. 기본적으로 일군의 초음파 센서들이 일정 간격으로 상호 빔 폭이 중첩되도록 원형으로 배치된다고 가정한다. 첫째, 빔 폭 중첩 상태를 활용함으로써 초음파 센서 고유의 위치 불확실성을 현저히 감소시킬 수 있음을 보인다. 둘째, 반경이 영인 이상적인 중첩 초음파 센서 링에 대해, 위치 불확실성을 나타낼 수 있도록 유효 빔 폭의 개념을 도입하고, 유효 빔 폭을 최소화하기 위해 필요한 초음파 센서의 최적 개수를 구한다. 셋째, 일정 반경의 실제 중첩 초음파 센서 링을 대상으로, 위치 불확실성 정도를 표현하는 설계 지수를 정의하고, 상용 저지향성 초음파 센서를 구성되는 중첩 초음파 센서 링의 최적 설계 예를 제시한다. 넷째, 초음파 센서의 측정 거리로부터 이동로봇 중심 기준 장애물의 위치를 산정하기 위한 기하학적 방법을 기술한다. 마지막으로, 한 쪽이 열린 평면 장애물 탐지 실험을 통해, 자체 제작된 초음파 센서 링의 장애물 탐지 해상도가 향상됨을 입증한다.