• Title/Summary/Keyword: Reduced ring

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NORMALITY ON JACOBSON AND NIL RADICALS

  • Kim, Dong Hwa;Yun, Sang Jo
    • Communications of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.127-136
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    • 2019
  • This article concerns the normal property of elements on Jacobson and nil radicals which are generalizations of commutativity. A ring is said to be right njr if it satisfies the normal property on the Jacobson radical. Similarly a ring is said to be right nunr (resp., right nlnr) if it satisfies the normal property on the upper (resp., lower) nilradical. We investigate the relations between right duo property and the normality on Jacobson (nil) radicals. Related examples are investigated in the procedure of studying the structures of right njr, nunr, and nlnr rings.

ON STRONGLY RIGHT 𝜋-DUO RINGS

  • Cheon, Jeoung Soo;Nam, Sang Bok;Yun, Sang Jo
    • Journal of the Chungcheong Mathematical Society
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    • v.33 no.3
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    • pp.327-337
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    • 2020
  • This article continues the study of right 𝜋-duo rings, concentrating on the situation of nonzero powers. For this purpose we introduce the concept of strongly right 𝜋-duo and examine the structure of strongly right 𝜋-duo in relation to various ring properties that play important roles in ring theory. It is proved for a strongly right 𝜋-duo ring R that if the upper (lower) nilradical of R is zero then R is reduced. Various kinds of examples are examined in relation to the questions raised in the procedure.

Design of a S-band Oscillator Using Vertical Split Ring Resonator (수직 분할 링 공진기를 이용한 S-밴드 발진기 설계)

  • Lee, Ju-Heun;Hong, Min-Cheol;Oh, Jeong-Taek;Yoon, Won-Sang
    • The Journal of Korean Institute of Information Technology
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    • v.17 no.3
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    • pp.43-50
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    • 2019
  • In this paper, we propose a S-band oscillator with a reduced electrical size by applying a vertical split ring resonator(VSRR). The VSRR is a type of split ring resonator that operates as a resonator by the capacitance and inductance generated between the microstrip lines arranged on the top and bottom of the dielectric substrate and it has an advantage that the electrical size of the resonance circuit can be reduced as compared with the conventional ring resonator. In this paper, we design a VSRR operating over S-band and an oscillator using the VSRR as the resonant circuit. The proposed oscillator showed the output of 5.9dBm at 2.4HGz and showed the phase noise characteristics of -112.58dBc at 100KHz offset frequency and -117.85dBc at 1MHz offset.

Molecular interaction between a reduced riboflavin derivative and salicylic acid derivatives

  • Yu, Byung-Sul;Sohn, Dong-Hwan;Sohn, Dong-Hwan
    • Archives of Pharmacal Research
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    • v.8 no.3
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    • pp.99-107
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    • 1985
  • The interaction of reduced riboflavin 2', 3', 4', 5'-tetrabutyrate with salicylic acid, aspirin, and salicylamide has been spectroscopically investigated to determine the binding mechanism. Hydrogen-1 and carbon-13 unclear magnetic resonance, infrared, and absoption spectra were measured in chloform-d and chloroform. The association of the reduced riboflavin with salicylic acid derivatives is different from that osidizd one. Salicylic acid and the reduced riboflavin form a cyclic hydrogen bounded complex through the imino (3-N, 5-N) protons and the carbonyl (2-C, 4-C) oxygens of the isolloxazine ring of the latter, and the carboxylic hydroxyl proton and carbonyl oxygen of the former. Aspirin and the reduced riboflavin form a complex by the same mode as salicylic acid. Salicylamide forms a cyclic hydrogen bonded complex with the reduced riboflavin through the imino (3-N, 5-N) protons and the carbonyl (2-C, 4-C) oxygens of the isoalloxazine ring, and the amino proton and the carbonyl oxygen of salic aylmide. It appears that both the oxidized and reduced form of riboflavin are associated with salicylic acid derivatives.

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Effect of Loading Split-Ring Resonators in a Microstrip Antenna Ground Plane

  • Lee, Hong-Min
    • Journal of electromagnetic engineering and science
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    • v.15 no.2
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    • pp.120-122
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    • 2015
  • This study presents a new, simple method for improving the front-to-back (F/B) ratio of a microstrip patch antenna (MSA) based on surface wave suppression. The back radiation of the MSA is significantly reduced by using the meandered ground plane edges and placing split-ring resonators (SRRs) in the middle of the meandered slots. By loading SRRs near the center of the meandered ground plane edges, some parts of the diffracted back-lobe power density can be reduced further. Compared to the F/B ratio of a conventional MSA with a full ground plane of the same size, an improved F/B ratio of 18 dB has been achieved experimentally for our proposed MSA.

A Study on the Starved Lubrication for the Piston Ring (피스톤 링에서의 오일 부족 윤활에 대한 연구)

  • Jo, Myeong-Rae;Han, Dong-Cheol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.8
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    • pp.1183-1188
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    • 2001
  • This paper reports on the starved lubrication for the piston ring. In this analysis, two types of inlet boundary conditions, fully flooded and starved condition, are considered at the leading edge. The inlet position of effective lubrication and squeeze term are obtained by numerically iterative method. The effective lubricated region is reduced due to the starved condition at the inlet. The starved condition at the inlet significantly reduced the minimum oil film thickness(MOFT) at the midstroke of piston, and the friction force is also increased due to the thin oil film thickness. In the starved conditions, the power loss is significantly increased.

Rings which satisfy the Property of Inserting Regular Elements at Zero Products

  • Kim, Hong Kee;Kwak, Tai Keun;Lee, Yang;Seo, Yeonsook
    • Kyungpook Mathematical Journal
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    • v.60 no.2
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    • pp.307-318
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    • 2020
  • This article concerns the class of rings which satisfy the property of inserting regular elements at zero products, and rings with such property are called regular-IFP. We study the structure of regular-IFP rings in relation to various ring properties that play roles in noncommutative ring theory. We investigate conditions under which the regular-IFPness pass to polynomial rings, and equivalent conditions to the regular-IFPness.

ON IDEMPOTENTS IN RELATION WITH REGULARITY

  • HAN, JUNCHEOL;LEE, YANG;PARK, SANGWON;SUNG, HYO JIN;YUN, SANG JO
    • Journal of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.217-232
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    • 2016
  • We make a study of two generalizations of regular rings, concentrating our attention on the structure of idempotents. A ring R is said to be right attaching-idempotent if for $a{\in}R$ there exists $0{\neq}b{\in}R$ such that ab is an idempotent. Next R is said to be generalized regular if for $0{\neq}a{\in}R$ there exist nonzero $b{\in}R$ such that ab is a nonzero idempotent. It is first checked that generalized regular is left-right symmetric but right attaching-idempotent is not. The generalized regularity is shown to be a Morita invariant property. More structural properties of these two concepts are also investigated.

A Design of Miniaturized Ring-Hybrid Coupler with Broadband Harmonic Attenuation Property (광대역 고조파 감쇠특성을 갖는 소형화된 링-하이브리드의 설계)

  • Lee Hong-Seop;Choi Kyoung;Hwang Hee-Yong
    • 한국정보통신설비학회:학술대회논문집
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    • 2006.08a
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    • pp.197-201
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    • 2006
  • Folded lines are applied to design a compact microstrip ring hybrid. Using the proposed structure we achieve both significant size reduction and good harmonic suppression with the same results of conventional ring hybrid at 2.41GHz. Including the third harmonic frequency, up to 11GHz band harmonics are suppressed to -20dB. The size of the proposed ring-hybrid is reduced to one forth of the conventional ring hybrid. The measured frequency responses agree well with simulated ones.

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ZERO DIVISOR GRAPHS OF SKEW GENERALIZED POWER SERIES RINGS

  • MOUSSAVI, AHMAD;PAYKAN, KAMAL
    • Communications of the Korean Mathematical Society
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    • v.30 no.4
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    • pp.363-377
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    • 2015
  • Let R be a ring, (S,${\leq}$) a strictly ordered monoid and ${\omega}$ : S ${\rightarrow}$ End(R) a monoid homomorphism. The skew generalized power series ring R[[S,${\omega}$]] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal'cev-Neumann Laurent series rings. In this paper, we investigate the interplay between the ring-theoretical properties of R[[S,${\omega}$]] and the graph-theoretical properties of its zero-divisor graph ${\Gamma}$(R[[S,${\omega}$]]). Furthermore, we examine the preservation of diameter and girth of the zero-divisor graph under extension to skew generalized power series rings.