• Journal of the Korean Mathematical Society
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• v.47 no.3
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• pp.633-643
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• 2010

Let a be an ideal of a commutative Noetherian ring R, M a finitely generated R-module and N a weakly Laskerian R-module. We show that if N has finite dimension d, then $Ass_R(H^d_a(N))$ consists of finitely many maximal ideals of R. Also, we find the least integer i, such that $H^i_a$(M, N) is not consisting of finitely many maximal ideals of R.

• Bulletin of the Korean Mathematical Society
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• v.56 no.2
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• pp.471-477
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• 2019

Let (R, m) be a commutative Noetherian ring, I an ideal of R and M a non-zero finitely generated R-module. We show that if M and $H_0(I,M)$ are aCM R-modules and $I=(x_1,{\cdots},x_{n+1})$ such that $x_1,{\cdots},x_n$ is an M-regular sequence, then $H_i(I,M)$ is an aCM R-module for all i. Moreover, we prove that if R and $H_i(I,R)$ are aCM for all i, then R/(0 : I) is aCM. In addition, we prove that if R is aCM and $x_1,{\cdots},x_n$ is an aCM d-sequence, then depth $H_i(x_1,{\cdots},x_n;R){\geq}i-1$ for all i.

• Transactions of Materials Processing
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• v.13 no.3
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• pp.211-215
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• 2004

Recently, one of remarkable tends in the development of optical communication industry is the miniaturization and integration of products. The alignment system of micro optical module is a key apparatus for the miniaturization of optical module and the development of optical communication parts with high functionality. In this research, we have developed a system capable of automatic alignment of a $30\mu\textrm{m}$-thick film filter and a lensed fiber in order to improve the speed and losses in the optical fiber-to-filter alignment of optical modules. Using the developed automatic alignment system and silicon optical bench, we have measured optical loss and characteristics of the assembled optical add/drop module before packaging $1{\times}1$ OADM optical module. Whole size of add/drop module was less than $5mm{\times}5mm{\times}1mm$. The measured maximum insertion loss was 0.294㏈ that is below 0.3㏈ which is a standard loss of optical module.

• Journal of the Korean Mathematical Society
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• v.49 no.2
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• pp.435-447
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• 2012

Let G be a group. Let R be a G-graded commutative ring with identity and M be a G-graded multiplication module over R. A proper graded submodule Q of M is semiprime if whenever $I^nK{\subseteq}Q$, where $I{\subseteq}h(R)$, n is a positive integer, and $K{\subseteq}h(M)$, then $IK{\subseteq}Q$. We characterize semiprime submodules of M. For example, we show that a proper graded submodule Q of M is semiprime if and only if grad$(Q){\cap}h(M)=Q+{\cap}h(M)$. Furthermore if M is finitely generated then we prove that every proper graded submodule of M is contained in a graded semiprime submodule of M. A proper graded submodule Q of M is said to be almost semiprime if (grad(Q)$\cap$h(M))n(grad$(0_M){\cap}h(M)$) = (Q$\cap$h(M))n(grad$(0_M){\cap}Q{\cap}h(M)$). Let K, Q be graded submodules of M. If K and Q are almost semiprime in M such that Q + K $\neq$ M and $Q{\cap}K{\subseteq}M_g$ for all $g{\in}G$, then we prove that Q + K is almost semiprime in M.

• Journal of the Korean Mathematical Society
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• v.54 no.4
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• pp.1281-1299
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• 2017

A submodule N of a module M is called ${\mathcal{S}}$-closed (in M) if M/N is nonsingular. It is well-known that the class Closed of short exact sequences determined by closed submodules is a proper class in the sense of Buchsbaum. However, the class $\mathcal{S}-Closed$ of short exact sequences determined by $\mathcal{S}$-closed submodules need not be a proper class. In the first part of the paper, we describe the smallest proper class ${\langle}\mathcal{S-Closed}{\rangle}$ containing $\mathcal{S-Closed}$ in terms of $\mathcal{S}$-closed submodules. We show that this class coincides with the proper classes projectively generated by Goldie torsion modules and coprojectively generated by nonsingular modules. Moreover, for a right nonsingular ring R, it coincides with the proper class generated by neat submodules if and only if R is a right SI-ring. In abelian groups, the elements of this class are exactly torsionsplitting. In the second part, coprojective modules of this class which we call ec-flat modules are also investigated. We prove that injective modules are ec-flat if and only if each injective hull of a Goldie torsion module is projective if and only if every Goldie torsion module embeds in a projective module. For a left Noetherian right nonsingular ring R of which the identity element is a sum of orthogonal primitive idempotents, we prove that the class ${\langle}\mathcal{S-Closed}{\rangle}$ coincides with the class of pure-exact sequences of modules if and only if R is a two-sided hereditary, two-sided $\mathcal{CS}$-ring and every singular right module is a direct sum of finitely presented modules.

• Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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• v.22 no.11
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• pp.1-8
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• 2008

In this paper, the optical properties of the 54[W] LED module have confirmed by changing the angles of LED modules for street light applications. The angle of LED module changed from the $0[^{\circ}]$ to $60[^{\circ}]$ varying by $20[^{\circ}]$ as horizontal direction ${\ominus}_1$. Morever, the angle of LED module changed from the $0[^{\circ}]$ to $15[^{\circ}]$ varying by $5[^{\circ}]$ as vertical direction ${\ominus}_2$. As a result of simulation, the average illumination was about 17[lux] and the overall illuminance uniformity was 0.29 for a 10.39[m] long and 6[m] wide illuminance area at height of 6[m], which is acceptable for street lighting illumination in the Illuminating Engineering Society(IES) standard.

• Communications of the Korean Mathematical Society
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• v.9 no.3
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• pp.503-511
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• 1994

In this paper, the ring A will mean a commutative Noetherian ring with non-zero multiplicative identity, it is understood that the ring homomorphisms respect identity elements and M will denote an A-module. Throughout this paper A and B will denote rings, $f : A \to B$ a ring homomorphism. C(A) (resp. C(B)) presents the category of all A-modules (resp. B-modules) and A-homomorphisms (resp. B-homorphisms) between them. The following ideas will be used without further explanation. B can be regarded as an A-module by means of f and $M\otimesB$ can be regarded as a B-module in the natural way. Furthermore the restriction of scalars provides a functor from C(B) to C(A).

• Proceedings of the IEEK Conference
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• 2002.06e
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• pp.55-58
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• 2002

This paper describes an RF module for 2.4GHz wireless audio/video transmission. The pre-processed baseband input signals are FM-modulated using a VCO and then transmitted through an antenna after RF filtering. The designed circuits are implemented using a Teflon board of which the size is 52mm${\times}$62mm. The measured maximum output signal levels are around -3dBm and the harmonics are less than -450dBc. The manufactured module consumes 130mA from a 8V supply.

• Proceedings of the KIEE Conference
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• 1987.07b
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• pp.1338-1340
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• 1987

This paper describes the design of ECG data preprocess module for the ECG signals. This module process the data obtained from two channels. It is composed of the AID converter, QRS detector, one chip micro-computer and memory. This module performs the following functions;digital filtering, R wave detection and determination of reference point for the ST segment. The measured points are transfered to the next data module by the interrupt process. This preprocessor data module is available to the basis for the parallel data processing for the real time automatic diagnosis.

• Proceedings of the Korea Information Processing Society Conference
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• 2015.04a
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• pp.139-142
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• 2015

데이터 센터에서는 물리적인 규모 증가와는 달리 별도의 처리 없이는 분산처리 프레임워크가 동일한 클러스터 내에서 복수로 동작할 수 없어 전체 환경을 정적으로 분할하여 이들을 배치하는 것이 일반적이다. 그러나 최근 연구에서는 복수의 프레임워크를 한 클러스터 내에서 동작시킴으로써 클러스터의 활용률을 높이는 방향으로 이루어지고 있다. Mesos는 복수의 분산처리 프레임워크를 한 클러스터에서 동작시키기 위한 시스템 중 하나로 각 프레임워크 스케줄러의 스케줄링을 지원하는 단일 Allocation Module을 가진다. Allocation Module은 모든 Slave와 프레임워크 스케줄러들의 요청을 처리하는데, 시스템 규모가 커질수록 Allocation Module으로 집중되는 부하가 증가하여 이에 따른 할당 속도 저하로 정상적인 동작이 불가능해진다. 이 문제를 해결하기 위해 본 논문에서는 Mesos 시스템의 Allocation Module 병렬화를 제안한다. 제안 방식을 통해 Allocation Module의 부하를 분산함과 동시에 Head-of-line Blocking으로 인한 스케줄링 지연 문제를 해결할 수 있을 것이다.