• 제목/요약/키워드: Submodule

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HVDC 병렬 하프브리지 서브모듈에 대한 고장나무기반의 신뢰성 분석 (Fault-tree based reliability analysis for paralleled half-bridge sub-module of HVDC)

  • 강필순;송성근
    • 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.

MULTIPLICATION MODULES WHOSE ENDOMORPHISM RINGS ARE INTEGRAL DOMAINS

  • Lee, Sang-Cheol
    • 대한수학회보
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    • 제47권5호
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    • pp.1053-1066
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    • 2010
  • In this paper, several properties of endomorphism rings of modules are investigated. A multiplication module M over a commutative ring R induces a commutative ring $M^*$ of endomorphisms of M and hence the relation between the prime (maximal) submodules of M and the prime (maximal) ideals of $M^*$ can be found. In particular, two classes of ideals of $M^*$ are discussed in this paper: one is of the form $G_{M^*}\;(M,\;N)\;=\;\{f\;{\in}\;M^*\;|\;f(M)\;{\subseteq}\;N\}$ and the other is of the form $G_{M^*}\;(N,\;0)\;=\;\{f\;{\in}\;M^*\;|\;f(N)\;=\;0\}$ for a submodule N of M.

ON COFINITELY CLOSED WEAK δ-SUPPLEMENTED MODULES

  • Sozen, Esra Ozturk
    • 호남수학학술지
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    • 제42권3호
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    • pp.511-520
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    • 2020
  • A module M is called cofinitely closed weak δ-supplemented (briefly δ-ccws-module) if for any cofinite closed submodule N of M has a weak δ-supplement in M. In this paper we investigate the basic properties of δ-ccws modules. In the light of this study, we can list the main facts obtained as following: (1) Any cofinite closed direct summand of a δ-ccws module is also a δ-ccws module; (2) Let R be a left δ-V -ring. Then R is a δ-ccws module iff R is a ccws-module iff R is extending; (3) Any nonsingular homomorphic image of a δ-ccws-module is also a δ-ccws-module; (4) We characterize nonsingular δ-V -rings in which all nonsingular modules are δ-ccws.

On Generalized FI-extending Modules

  • Yucel, Canan Celep
    • Kyungpook Mathematical Journal
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    • 제60권1호
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    • pp.45-51
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    • 2020
  • A module M is called FI-extending if every fully invariant submodule of M is essential in a direct summand of M. In this work, we define a module M to be generalized FI-extending (GFI-extending) if for any fully invariant submodule N of M, there exists a direct summand D of M such that N ≤ D and that D/N is singular. The classes of FI-extending modules and singular modules are properly contained in the class of GFI-extending modules. We first develop basic properties of this newly defined class of modules in the general module setting. Then, the GFI-extending property is shown to carry over to matrix rings. Finally, we show that the class of GFI-extending modules is closed under direct sums but not under direct summands. However, it is proved that direct summands are GFI-extending under certain restrictions.

INTUITIONISTIC FUZZY WEAK CONGRUENCE ON A NEAR-RING MODULE

  • Hur Kul;Jang Su-Youn;Lee Keon-Chang
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제13권3호
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    • pp.167-187
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    • 2006
  • We introduce the concepts of intuitionistic fuzzy submodules and intuitionistic fuzzy weak congruences on an R-module (Near-ring module). And we obtain the correspondence between intuitionistic fuzzy weak congruences and intuitionistic fuzzy submodules of an R-module. Also, we define intuitionistic fuzzy quotient R-module of an R-module over an intuitionistic fuzzy submodule and obtain the correspondence between intuitionistic fuzzy weak congruences on an R-module and intuitionistic fuzzy weak congruences on intuitionistic fuzzy quotient R-module over an intuitionistic fuzzy submodule of an R-module.

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MMC 기반 HVDC 시스템용 서브모듈 시험회로의 커패시터 용량 분석 (Capacitance Value Analysis of Sub-module Test Circuit for MMC-based HVDC System)

  • 서병준;박권식;조광래;노의철;김흥근;전태원;김태진;이종필
    • 전력전자학회논문지
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    • 제23권6호
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    • pp.433-439
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    • 2018
  • This study considers the design of a submodule test circuit for the modular multi-level converter (MMC)-based HVDC systems. A novel submodule test circuit is proposed to provide not only an AC but also a DC component to the submodule current. However, the current waveforms depend on the capacitor voltages. Therefore, determining the capacitance value of the test circuit is important. Finding a proper capacitance value is easy when the proposed analysis method is used. Simulation and experimental results show the usefulness of the proposed method.

ON WEAKLY S-PRIME SUBMODULES

  • Hani A., Khashan;Ece Yetkin, Celikel
    • 대한수학회보
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    • 제59권6호
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    • pp.1387-1408
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    • 2022
  • Let R be a commutative ring with a non-zero identity, S be a multiplicatively closed subset of R and M be a unital R-module. In this paper, we define a submodule N of M with (N :R M)∩S = ∅ to be weakly S-prime if there exists s ∈ S such that whenever a ∈ R and m ∈ M with 0 ≠ am ∈ N, then either sa ∈ (N :R M) or sm ∈ N. Many properties, examples and characterizations of weakly S-prime submodules are introduced, especially in multiplication modules. Moreover, we investigate the behavior of this structure under module homomorphisms, localizations, quotient modules, cartesian product and idealizations. Finally, we define two kinds of submodules of the amalgamation module along an ideal and investigate conditions under which they are weakly S-prime.

ON NOETHERIAN PSEUDO-PRIME SPECTRUM OF A TOPOLOGICAL LE-MODULE

  • Anjan Kumar Bhuniya;Manas Kumbhakar
    • 대한수학회논문집
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    • 제38권1호
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    • pp.1-9
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    • 2023
  • An le-module M over a commutative ring R is a complete lattice ordered additive monoid (M, ⩽, +) having the greatest element e together with a module like action of R. This article characterizes the le-modules RM such that the pseudo-prime spectrum XM endowed with the Zariski topology is a Noetherian topological space. If the ring R is Noetherian and the pseudo-prime radical of every submodule elements of RM coincides with its Zariski radical, then XM is a Noetherian topological space. Also we prove that if R is Noetherian and for every submodule element n of M there is an ideal I of R such that V (n) = V (Ie), then the topological space XM is spectral.

PRIMARY DECOMPOSITION OF SUBMODULES OF A FREE MODULE OF FINITE RANK OVER A BÉZOUT DOMAIN

  • Fatemeh Mirzaei;Reza Nekooei
    • 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.

Multiplication Modules and characteristic submodules

  • Park, Young-Soo;Chol, Chang-Woo
    • 대한수학회보
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    • 제32권2호
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    • pp.321-328
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    • 1995
  • In this note all are commutative rings with identity and all modules are unital. Let R be a ring. An R-module M is called a multiplication module if for every submodule N of M there esists an ideal I of R such that N = IM. Clearly the ring R is a multiplication module as a module over itself. Also, it is well known that invertible and more generally profective ideals of R are multiplication R-modules (see [11, Theorem 1]).

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