• 한국전자파학회논문지
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• 제19권8호
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• pp.940-945
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• 2008

본 논문에서는 능동 위상 배열 레이다 시스템에 적용 가능한 브릭형 구조의 능동 송수신 모듈을 설계 및 제작하였다. 제안한 브릭형 구조의 능동 송수신 모듈은 MCM(Multi-Chip Module) 형태이며, 타일형 능동 송수신 모듈에 적용할 수 있도록 하기 위하여 캐비티 구조와 주요 특성을 만족하도록 설계하였다. 제작한 브릭형 능동 송수신 모듈의 시험을 통하여 목표로 한 전기적 특성을 만족함을 확인하였으며, 능동 위상 배열 레이다에 운용 가능성을 확인하였다.

• 대한수학회논문집
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• 제31권4호
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• pp.695-701
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• 2016

Let I and J be two ideals of a commutative Noetherian ring R and M, N be two non-zero finitely generated R-modules. Let t be a non-negative integer such that $H^i_{I,J}(N)$ is (I, J)-minimax for all i < t. It is shown that the generalized local cohomology module $H^i_{I,J}(M,N)$ is (I, J)-Cofinite minimax for all i < t. Also, we prove that the R-module $Ext^j_R(R/I,H^i_{I,J}(N))$ is finitely generated for all $i{\leq}t$ and j = 0, 1.

• 대한수학회보
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• 제60권4호
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• pp.1071-1083
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• 2023

The main motivation of this paper is to introduce and study the notions of strong Dedekind rings and semi-regular injective modules. Specifically, a ring R is called strong Dedekind if every semi-regular ideal is Q₀-invertible, and an R-module E is called a semi-regular injective module provided Ext¹_R(T, E) = 0 for every 𝓠-torsion module T. In this paper, we first characterize rings over which all semi-regular injective modules are injective, and then study the semi-regular injective envelopes of R-modules. Moreover, we introduce and study the semi-regular global dimensions sr-gl.dim(R) of commutative rings R. Finally, we obtain that a ring R is a DQ-ring if and only if sr-gl.dim(R) = 0, and a ring R is a strong Dedekind ring if and only if sr-gl.dim(R) ≤ 1, if and only if any semi-regular ideal is projective. Besides, we show that the semi-regular dimensions of strong Dedekind rings are at most one.

• 대한수학회보
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• 제60권6호
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• pp.1453-1461
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• 2023

Let R be a one-dimensional Noetherian domain with quotient field K and T be the integral closure of R in K. In this note we prove that if the conductor ideal (R :_K T) is a nonzero prime ideal, then every finitely generated reflexive (and hence finitely generated G-projective) R-module is isomorphic to a direct sum of some ideals.

• 대한수학회보
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• 제49권3호
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• pp.601-608
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• 2012

The following statements for an infra-Krull domain $R$ are shown to be equivalent: (1) $R$ is a Krull domain; (2) for any essentially finite $w$-module $M$ over $R$, the torsion submodule $t(M)$ of $M$ is a direct summand of $M$; (3) for any essentially finite $w$-module $M$ over $R$, $t(M){\cap}pM=pt(M)$, for all maximal $w$-ideal $p$ of $R$; (4) $R$ satisfies the $w$-radical formula; (5) the $R$-module $R{\oplus}R$ satisfies the $w$-radical formula.

• 한국전자파학회논문지
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• 제20권12호
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• pp.1243-1251
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• 2009

본 논문에서는 능동 위상 배열 레이더에 사용되는 X-밴드 송수신 모듈의 설계와 측정 결과에 대해 기술한다. 일반적으로 능동 위상 배열 레이더는 고출력, 낮은 잡음 지수, 높은 TOI(Third Order Intercept), 송수신에서의 충분한 이득을 갖는 반도체 송수신 모듈을 요구한다. 송수신 모듈은 광대역에서 9 W의 출력 특성을 나타낸다. 잡음 지수는 2.8 dB로 낮다. 위상과 이득은 각각 6비트 위상 변위기와 5비트 감쇄기로 조정된다. LTCC(Low Temperature Co-fired Ceramic)을 사용하여 높은 집적도를 갖는 송수신 모듈을 구현하였다. 모듈은 디지털 인터페이스를 통합하고 3개의 전원을 사용한다.

• Korean Journal of Mathematics
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• 제18권3호
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• pp.271-275
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• 2010

Let R be a commutative ring with identity, T(R) be the total quotient ring of R, and D be a ring such that $R{\subseteq}D{\subseteq}T(R)$ and D is a finite R-module. In this paper, we show that each regular ideal of R is finitely generated if and only if each regular ideal of D is finitely generated. This is a generalization of the Eakin-Nagata theorem that R is Noetherian if and only if D is Noetherian.

• 대한수학회보
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• 제46권5호
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• pp.867-871
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• 2009

A module M over a ring R is said to satisfy (P) if every generating set of M contains an independent generating set. The following results are proved; (1) Let $\tau$ = ($\mathbb{T}_\tau,\;\mathbb{F}_\tau$) be a hereditary torsion theory such that $\mathbb{T}_\tau$ $\neq$ Mod-R. Then every $\tau$-torsionfree R-module satisfies (P) if and only if S = R/$\tau$(R) is a division ring. (2) Let $\mathcal{K}$ be a hereditary pre-torsion class of modules. Then every module in $\mathcal{K}$ satisfies (P) if and only if either $\mathcal{K}$ = {0} or S = R/$Soc_\mathcal{K}$(R) is a division ring, where $Soc_\mathcal{K}$(R) = $\cap${I 4\leq$ $R_R$ : R/I$\in\mathcal{K}$}.

• 대한수학회지
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• 제51권3호
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• pp.509-525
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• 2014

Let R be a commutative ring with identity. An R-module M is said to be w-projective if $Ext\frac{1}{R}$(M,N) is GV-torsion for any torsion-free w-module N. In this paper, we define a ring R to be w-semi-hereditary if every finite type ideal of R is w-projective. To characterize w-semi-hereditary rings, we introduce the concept of w-injective modules and study some basic properties of w-injective modules. Using these concepts, we show that R is w-semi-hereditary if and only if the total quotient ring T(R) of R is a von Neumann regular ring and $R_m$ is a valuation domain for any maximal w-ideal m of R. It is also shown that a connected ring R is w-semi-hereditary if and only if R is a Pr$\ddot{u}$fer v-multiplication domain.

• Kyungpook Mathematical Journal
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• 제45권1호
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• pp.131-135
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• 2005

Let an integral domain R be locally polynomial over an integral domain D and let R be a content module over D. We show that if D is a PVMD, then $$Cl_t(R){\sim_=}Cl_t(D)$$. This generalizes the polynomial case. We also show that R is a PVMD if and only if D is a PVMD if and only if $R_{N_v}$ is a PVMD.