• 호남수학학술지
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• 제34권4호
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• pp.505-512
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• 2012

In this paper, we give some properties on submodule transforms.

• 호남수학학술지
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• 제20권1호
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• pp.15-19
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• 1998

In this note we characterize the radical of a submodule by its invelope under some conditions and prove propositions about closed submodules.

• 대한수학회논문집
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• 제15권3호
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• pp.493-498
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• 2000

In this paper we find some properties of distinguished prime submodules of modules and prove theorems about the dimension of modules.

• Kyungpook Mathematical Journal
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• 제59권2호
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• pp.209-214
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• 2019

In this paper, we introduce the notion of quasi 2-absorbing submodules of modules over a commutative ring and obtain some basic properties of this class of modules.

• Journal of applied mathematics & informatics
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• 제4권2호
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• pp.563-571
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• 1997

In this paper we define CR(completely reachable), MICR(minimal cyclic refinement)and MACR(maximal cyclic refinement)-Modules. We have obtained equivalent statements for minimal cyclic submodule and maximal cyclic submodule. Also we have obtained necessary and sufficient conditions for a module M with MICR to be cyclic or strongly cyclic.

• 대한수학회지
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• 제35권1호
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• pp.1-9
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• 1998

In this paper we define CR(completely reachable), MICR(minimal cyclic refinement) and MACR(maximal cyclic refinement)-Modules. We have obtained equivalent statements for minimal cyclic submodule and maximal cyclic submodule. Also, we have obtained necessary and sufficient conditions for a module M with MICR to be cyclic or strongly cyclic.

• 전력전자학회논문지
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• 제24권6호
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• pp.452-458
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• 2019

This study proposes a new test circuit and control method for the submodules of modular multilevel converter (MMC)-based HVDC systems. The test current of conventional submodule test circuits cannot provide the DC offset components or may have some distortion in the linearized current with the DC offset. The proposed scheme can provide not only the DC component but also linearized current without distortion. Therefore, the submodule test current waveform is relatively similar to that of a real submodule consisting of an MMC-based HVDC system. The validity of the proposed circuit and control method is verified through a simulation and experiment.

• 대한수학회지
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• 제51권6호
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• pp.1305-1319
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• 2014

A submodule N of a right R-module M is called coneat if for every simple right R-module S, any homomorphism $N{\rightarrow}S$ can be extended to a homomorphism $M{\rightarrow}S$. M is called coneat-flat if the kernel of any epimorphism $Y{\rightarrow}M{\rightarrow}0$ is coneat in Y. It is proven that (1) coneat submodules of any right R-module are coclosed if and only if R is right K-ring; (2) every right R-module is coneat-flat if and only if R is right V -ring; (3) coneat submodules of right injective modules are exactly the modules which have no maximal submodules if and only if R is right small ring. If R is commutative, then a module M is coneat-flat if and only if $M^+$ is m-injective. Every maximal left ideal of R is finitely generated if and only if every absolutely pure left R-module is m-injective. A commutative ring R is perfect if and only if every coneat-flat module is projective. We also study the rings over which coneat-flat and flat modules coincide.

• 대한수학회논문집
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• 제38권1호
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• pp.39-46
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• 2023

Let R be a commutative ring, M be a Noetherian R-module, and N a 2-absorbing submodule of M such that r(N :_R M) = 𝖕 is a prime ideal of R. The main result of the paper states that if N = Q₁ ∩ ⋯ ∩ Q_n with r(Q_i :_R M) = 𝖕_i, for i = 1, . . . , n, is a minimal primary decomposition of N, then the following statements are true. (i) 𝖕 = 𝖕_k for some 1 ≤ k ≤ n. (ii) For each j = 1, . . . , n there exists m_j ∈ M such that 𝖕_j = (N :_R m_j). (iii) For each i, j = 1, . . . , n either 𝖕_i ⊆ 𝖕_j or 𝖕_j ⊆ 𝖕_i. Let Γ_E(M) denote the zero-divisor graph of equivalence classes of zero divisors of M. It is shown that {Q₁∩ ⋯ ∩Q_n-1, Q₁∩ ⋯ ∩Q_n-2, . . . , Q₁} is an independent subset of V (Γ_E(M)), whenever the zero submodule of M is a 2-absorbing submodule and Q₁ ∩ ⋯ ∩ Q_n = 0 is its minimal primary decomposition. Furthermore, it is proved that Γ_E(M)[(0 :_R M)], the induced subgraph of Γ_E(M) by (0 :_R M), is complete.

• 전기전자학회논문지
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• 제23권4호
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• pp.1218-1223
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• 2019

HVDC 시스템에서 풀-브리지 서브 모듈 구조는 하프브리지 서브 모듈에 비해 부품 수가 증가하지만 100 % 여유율 확보가 가능하여 고장률을 크게 줄일 수 있다. 그러나 풀-브리지 서브 모듈은 여유율 보장과 암(arm) 단락 방지를 위한 데드 타임(dead-time)을 확보하기 위해 복잡한 제어 알고리즘이 필요하다. 이 문제를 해결하기 위해 풀-브리지 서브 모듈과 동일한 부품 수와 100 % 여유율을 갖는 병렬 하프브리지 구성의 고장률을 분석한다. 기존의 부품 고장 분석에 고장나무분석 방법을 적용하여 서브 모듈의 동작 위험을 반영함으로써 서브 모듈의 수명주기를 보다 정확하게 예측할 수 있다. 병렬 하프브리지 서브모듈의 타당성 검증을 위해 FTA 기반 분석 방법과 기존의 PCA 기반 방법으로 분석된 고장률을 비교한다.