• Title/Summary/Keyword: quasi-primary

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ON WEAKLY COMPLETELY QUASI PRIMARY AND COMPLETELY QUASI PRIMARY IDEALS IN TERNARY SEMIRINGS

  • Yiarayong, Pairote
    • Communications of the Korean Mathematical Society
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    • v.31 no.4
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    • pp.657-665
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    • 2016
  • In this investigation we studied completely quasi primary and weakly completely quasi primary ideals in ternary semirings. Some characterizations of completely quasi primary and weakly completely quasi primary ideals were obtained. Moreover, we investigated relationships between completely quasi primary and weakly completely quasi primary ideals in ternary semirings. Finally, we obtained necessary and sufficient conditions for a weakly completely quasi primary ideal to be a completely quasi primary ideal.

ON STRONGLY QUASI PRIMARY IDEALS

  • Koc, Suat;Tekir, Unsal;Ulucak, Gulsen
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.729-743
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    • 2019
  • In this paper, we introduce strongly quasi primary ideals which is an intermediate class of primary ideals and quasi primary ideals. Let R be a commutative ring with nonzero identity and Q a proper ideal of R. Then Q is called strongly quasi primary if $ab{\in}Q$ for $a,b{\in}R$ implies either $a^2{\in}Q$ or $b^n{\in}Q$ ($a^n{\in}Q$ or $b^2{\in}Q$) for some $n{\in}{\mathbb{N}}$. We give many properties of strongly quasi primary ideals and investigate the relations between strongly quasi primary ideals and other classical ideals such as primary, 2-prime and quasi primary ideals. Among other results, we give a characterization of divided rings in terms of strongly quasi primary ideals. Also, we construct a subgraph of ideal based zero divisor graph ${\Gamma}_I(R)$ and denote it by ${\Gamma}^*_I(R)$, where I is an ideal of R. We investigate the relations between ${\Gamma}^*_I(R)$ and ${\Gamma}_I(R)$. Further, we use strongly quasi primary ideals and ${\Gamma}^*_I(R)$ to characterize von Neumann regular rings.

ON STRONGLY QUASI J-IDEALS OF COMMUTATIVE RINGS

  • El Mehdi Bouba;Yassine EL-Khabchi;Mohammed Tamekkante
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.93-104
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    • 2024
  • Let R be a commutative ring with identity. In this paper, we introduce a new class of ideals called the class of strongly quasi J-ideals lying properly between the class of J-ideals and the class of quasi J-ideals. A proper ideal I of R is called a strongly quasi J-ideal if, whenever a, b ∈ R and ab ∈ I, then a2 ∈ I or b ∈ Jac(R). Firstly, we investigate some basic properties of strongly quasi J-ideals. Hence, we give the necessary and sufficient conditions for a ring R to contain a strongly quasi J-ideals. Many other results are given to disclose the relations between this new concept and others that already exist. Namely, the primary ideals, the prime ideals and the maximal ideals. Finally, we give an idea about some strongly quasi J-ideals of the quotient rings, the localization of rings, the polynomial rings and the trivial rings extensions.

Single-Stage Quasi Resonant Type PSR(Primary Side Regulation) PWM Converter for the LED Drive in TRIAC Phase Controlled Dimmer (TRIAC위상 제어 조광기에서의 LED구동을 위한 Single-Stage 준 공진형 PSR(Primary Side Regulation) PWM 컨버터)

  • Han, Jae-Hyun;Lim, Young-Cheol;Jung, Young-Gook
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.27 no.2
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    • pp.84-94
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    • 2013
  • In case when the existing TRIAC phase controlled dimmer is drove for the LED lighting equipments, there are many problems such as the LED flicker in low phase-angles, the acoustic noise and elements damage by increase of the peak voltage in the input filter capacitor, mulfunction by insufficiency of the TRIAC holding current, and the abnormal oscillation by LC resonant. In this paper, we proposes the single-stage quasi-resonant PSR(Primary Side Regulation) PWM converter, and the design, the simulation and experiment are performed. As a result, it could confirm that the proposed PWM converter is the lighting equipments for LED drive which can alternate the existing 60W class incandescent bulbs and it has the high drive performance of the efficiency 80% and over, the power factor 0.95 and over under the normal voltage 220V. Finally, total harmonic distortion(THD) is gratified with a standard[1] of the lighting equipments and the durability is evaluated as the high reliablilty of 150,000 hours and over.

HESITANT FUZZY p-IDEALS AND QUASI-ASSOCIATIVE IDEALS IN BCI-ALGEBRAS

  • Jun, Young Bae;Roh, Eun Hwan;Ahn, Sun Shin
    • Honam Mathematical Journal
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    • v.44 no.2
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    • pp.148-164
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    • 2022
  • The main purpose of this paper is to apply the notion of hesitant fuzzy sets to an algebraic structure, so called a BCI-algebra. The primary goal of the study is to define hesitant fuzzy p-ideals and hesitant fuzzy quasi-associative ideals in BCI-algebras, and to investigate their properties and relations.

Characteristics of the Stress Reduction and Output Voltage of ST(Switched Trans) Quasi Z-Source Inverter (ST Quasi Z-소스 인버터의 스트레스 저감과 출력전압 특성)

  • Kim, Se-Jin;Jung, Young-Gook;Lim, Young-Cheol
    • The Transactions of the Korean Institute of Power Electronics
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    • v.18 no.1
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    • pp.1-9
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    • 2013
  • This paper proposes a ST(Switched Trans) quasi Z-source inverter using a Switched Trans Cell combing the characteristics of a Switched Inductor Cell and Trans. A DC link inductor of the conventional quasi Z-source inverter is alternated with Switched Trans Cell of the proposed ST quasi Z-source inverter. Trans Cell of the proposed method consists of one Trans and two diodes, and the proposed method has higher and more various boost function than the conventional quasi Z-source inverter by simply changing the turns ratio of primary and secondary of the Trans. The validity of the proposed ST Z-source inverter was confirmed by PSIM simulation and a DSP based experiment under the input voltage 48V and output phase voltage 30V. As a result, when compared with the traditional quasi Z-source inverter, the proposed method has the advantage of the low voltage stress under the same output voltage condition of the voltage.

Simple Method of Analysis for Preliminary Design of the Composite Laminated Primary Structures for Civil Construction

  • Kim, Duk-Hyun-
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1991.10a
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    • pp.121-126
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    • 1991
  • In his recent book, D.H. Kim proposes to use the quasi-isotropic constants by Tsai for the preliminary design of the composite primary structures for the civil construction. Such structures generally require a large number of laminae layers. Simple equations which can predict "exact" values of the buckling strength, the natural frequency of vibration, and the deflection for the special orthotropic laminates are presented. Many laminates with certain orientations lave decreasing values of B$\_$16/ and B$\_$26/ as the number of plies increases. Such laminates, with D$\_$16/=D$\_$26/\longrightarrow0, including the laminates with anti-symmetric configurations can be solved by the same equation for the special orthotropic laminates. If the quasi-isotropic constants are used, the equations for the Isotropic plates can be used. Use of some coefficients can produce "exact" value for laminates with such configuration.

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The Effectiveness of Language Learning Through Native English Teachers' Online Synchronous Class

  • Tan, Jialu;Tan, Shengyuan;Bae, Ki-Hyung
    • International Journal of Contents
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    • v.18 no.3
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    • pp.1-10
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    • 2022
  • The advancement of Internet technologies has provided a new and effective way to cultivate international talents. To investigate the effect of native English teachers' online synchronous classes on Chinese primary school students' oral English improvement, an 18-month quasi-experimental study was conducted on 300 primary school students in China. The experiment and control groups were provided biweekly synchronous online classes with native and non-native English teachers. SPSS was used to conduct Paired Sample T-Tests and analyze performance differentials. The results showed that online classes taught by native English teachers perform better than non-native English teachers in three areas: vocabulary accuracy, average sentence length, and phonological intonation.

FACTORIZATION IN THE RING h(ℤ, ℚ) OF COMPOSITE HURWITZ POLYNOMIALS

  • Oh, Dong Yeol;Oh, Ill Mok
    • Korean Journal of Mathematics
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    • v.30 no.3
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    • pp.425-431
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    • 2022
  • Let ℤ and ℚ be the ring of integers and the field of rational numbers, respectively. Let h(ℤ, ℚ) be the ring of composite Hurwitz polynomials. In this paper, we study the factorization of composite Hurwitz polynomials in h(ℤ, ℚ). We show that every nonzero nonunit element of h(ℤ, ℚ) is a finite *-product of quasi-primary elements and irreducible elements of h(ℤ, ℚ). By using a relation between usual polynomials in ℚ[x] and composite Hurwitz polynomials in h(ℤ, ℚ), we also give a necessary and sufficient condition for composite Hurwitz polynomials of degree ≤ 3 in h(ℤ, ℚ) to be irreducible.

Buckling of symmetrically laminated quasi-isotropic thin rectangular plates

  • Altunsaray, Erkin;Bayer, Ismail
    • Steel and Composite Structures
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    • v.17 no.3
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    • pp.305-320
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    • 2014
  • The lowest critical value of the compressive force acting in the plane of symmetrically laminated quasi-isotropic thin rectangular plates is investigated. The critical buckling loads of plates with different types of lamination and aspect ratios are parametrically calculated. Finite Differences Method (FDM) and Galerkin Method are used to solve the governing differential equation for Classical Laminated Plate Theory (CLPT). The results calculated are compared with those obtained by the software ANSYS employing Finite Elements Method (FEM). The results of Galerkin Method (GM) are closer to FEM results than those of FDM. In this study, the primary aim is to conduct a parametrical performance analysis of proper plates that is typically conducted at preliminary structural design stage of composite vessels. Non-dimensional values of critical buckling loads are also provided for practical use for designers.