• Title/Summary/Keyword: clean ring

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ON A GENERALIZATION OF UNIT REGULAR RINGS

  • Tahire Ozen
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1463-1475
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    • 2023
  • In this paper, we introduce a class of rings generalizing unit regular rings and being a subclass of semipotent rings, which is called idempotent unit regular. We call a ring R an idempotent unit regular ring if for all r ∈ R - J(R), there exist a non-zero idempotent e and a unit element u in R such that er = eu, where this condition is left and right symmetric. Thus, we have also that there exist a non-zero idempotent e and a unit u such that ere = eue for all r ∈ R - J(R). Various basic characterizations and properties of this class of rings are proved and it is given the relationships between this class of rings and some well-known classes of rings such as semiperfect, clean, exchange and semipotent. Moreover, we obtain some results about when the endomorphism ring of a module in a class of left R-modules X is idempotent unit regular.

WHEN NILPOTENTS ARE CONTAINED IN JACOBSON RADICALS

  • Lee, Chang Ik;Park, Soo Yong
    • Journal of the Korean Mathematical Society
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    • v.55 no.5
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    • pp.1193-1205
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    • 2018
  • We focus our attention on a ring property that nilpotents are contained in the Jacobson radical. This property is satisfied by NI and left (right) quasi-duo rings. A ring is said to be NJ if it satisfies such property. We prove the following: (i) $K{\ddot{o}}the^{\prime}s$ conjecture holds if and only if the polynomial ring over an NI ring is NJ; (ii) If R is an NJ ring, then R is exchange if and only if it is clean; and (iii) A ring R is NJ if and only if so is every (one-sided) corner ring of R.

ON 2 × 2 STRONGLY CLEAN MATRICES

  • Chen, Huanyin
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.125-134
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    • 2013
  • An element in a ring R is strongly clean provided that it is the sum of an idempotent and a unit that commutate. In this note, several necessary and sufficient conditions under which a $2{\times}2$ matrix over an integral domain is strongly clean are given. These show that strong cleanness over integral domains can be characterized by quadratic and Diophantine equations.

Regiospecific Ring-Opening of Unsymmetrical Epoxides to the Corresponding Less Substituted Alcohols by Newly-Devised Meerwein-Ponndorf-Verley Type Reagents

  • Cha, Jin Soon
    • Journal of Integrative Natural Science
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    • v.5 no.2
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    • pp.91-99
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    • 2012
  • A newly-devised Meerwein-Ponndorf-Verley (MPV) reagents, such as diisobutylacetoxyalanes and diisobutylmethanesulfonylalanes, achieved a clean conversion of unsymmetrical epoxides to the corresponding less substituted alcohols. This review covers the recent developments for such a regiospecific ring-opening reaction of epoxides.

Ring-Opening Polymerization of ʟ-Lactide with Polydimethylsiloxane Based Stabilizers in Supercritical Carbon Dioxide (폴리디메틸실록산계 안정화제를 이용한 초임계 이산화탄소에서의 ʟ-Lactide의 개환중합)

  • Hwang, Ha Soo;Lim, Kwon Taek
    • Clean Technology
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    • v.12 no.2
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    • pp.62-66
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    • 2006
  • Poly($\small{L}$-Lactide)(PLLA) was prepared by a ring-opening polymerization of $\small{L}$-Lactide with various polydimethylsiloxane(PDMS) based copolymers as a stabilizer in supercritical carbon dioxide($scCO_2$). The block copolymeric stabilizers were synthesized by group transfer polymerization (GTP) by using PDMS macroinitiator. PLLA was found to be produced with fairly low molecular weight distribution as confirmed by gel permeation chromatography(GPC) analysis. Scanning electron microscopy (SEM) results showed that sub-micron size Poly($\small{L}$-lactide)(PLLA) particles were formed by suspension polymerization.

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Mesoporous Silica Catalysts Modified with Sulfonic Acid and Their Catalytic Activity on Ring Opening Polymerization of Octamethylcyclotetrasiloxane (술폰산으로 표면개질된 메조기공 실리카 촉매의 제조 및 Octamethylcyclotetrasiloxane 개환중합에서의 촉매 활성)

  • Lee, Yeonsong;Hwang, Ha Soo;Lee, Jiyoung;Lo, Nu Hoang Tien;Nguyen, Tien Giang;Lee, Donghyun;Park, In
    • Applied Chemistry for Engineering
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    • v.31 no.4
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    • pp.383-389
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    • 2020
  • Mesoporous silica solid catalysts modified with sulfonic acid were prepared for cationic ring-opening polymerization of octamethylcyclotetrasiloxane (D4). Two sets of MCM-41 (1.7 and 2.8 nm) and SBA-15 (8.1 and 15.9 nm) with different pore sizes were used as catalyst supports. The surface of silica materials was modified with (3-mercaptopropyl)trimethoxysilane by silylation reaction and oxidized to sulfonic acid. The structures of the prepared catalysts were examined by X-ray diffraction and nitrogen adsorption-desorption. The pore size, specific surface area, and pore volume of the modified solid catalysts decreased slightly. In addition, the modification of the sulfonic acid on the silica surface was confirmed by using infrared spectroscopy and nuclear magnetic resonance spectroscopy. To observe the effect of the particle size on the catalytic activity, it was observed with a scanning electron microscope. The catalysts were used to synthesize PDMS through a ring-opening polymerization of D4, and the conversion and polymerization rate of the polymerization reaction depended on the pore size, specific surface area, particle size, and particle agglomeration of the catalysts. In order for the polymerization rate, the catalyst prepared with SBA-15 of 8.1 nm pore size had the fastest reaction rate and showed the best catalytic activity.

Electrolyzed water cleaning for semiconductor manufacturing

  • Ryoo, Kun-Kul;Kim, Woo-Huk
    • Proceedings of the Korean Society Of Semiconductor Equipment Technology
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    • 2002.11a
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    • pp.117-119
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    • 2002
  • A semiconductor cleaning technology has been based upon RCA cleaning which consumes vast amounts of chemicals and ultra pure water. This technology hence gives rise to many environmental issues, and some alternatives such as electrolyzed water are being studied. In this work, intentionally contaminated Si wafers were cleaned using the electrolyzed water. The electrolyzed waters were obtained in anode and cathode with oxidation reduction potentials and pH of -1050mV and 4.8, and -750mV and 10.0, respectively. The electrolyzed water deterioration was correlated with $CO_2$ concentration changes dissolved from air. Overflowing of electrolyzed water during cleaning particles resulted in the same cleanness as could be obtained with RCA clean. The roughness of patterned wafer surfaces after EW clean maintained that of as-received wafers. RCA clean consumed about $9\ell$ chemicals, while electrolyzed water clean did only $400m\ell$ HCl or $600m\ell$ $NH_4$Cl to clean 8" wafers in this study. It was hence concluded that electrolyzed water cleaning technology would be very effective for releasing environment, safety, and health(ESH) issues in the next generation semiconductor manufacturing.ring.

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Acid-Promoted Ring Cleavage Reactions of Silacyclohex-3-ene Derivatives

  • Myong Euy Lee;Jeong Hyun Kim;Chang Hwan Kim
    • Bulletin of the Korean Chemical Society
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    • v.15 no.9
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    • pp.729-732
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    • 1994
  • The acid-promoted cleavage of the E-and Z-isomers of 1-phenyl-6-neopentyl-1,3,4-trimethyl-1-silacyclohe x-3-ene(II) under various conditions gave clean and nearly quantitative formation of the ring-opened 2,3,7,7-tetramethyl-5-(X)silyl-1-octene products (X=OMe, Cl, OH). The possible mechanism for the formation of the ring-opened products was suggested that the initial protonation of II at C-4 would give a carbocation oriented so that they are ${\beta}$ to the silicon atom, and the subsequent nucleophilic attack at silicon would give rise to the observed products (VI, VII, VIII).

A Study on CO2 Removal by Chemical Absorption Using Structured Packing (규칙충전물을 적용한 화학흡수법에 의한 이산화탄소 제거에 관한 연구)

  • K?m, Jae-Hong;K?m, Hyoung-Ho;Kim, Jang-ho
    • Clean Technology
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    • v.9 no.1
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    • pp.43-48
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    • 2003
  • As a result of study on factor affecting absorption efficiency using the structured packing, Mellapak N. 250Y for the chemical absorption of $CO_2$ that cause global warming due to development of industry, it is shown that Mellapak N. 250Y has lower pressure drop and superior efficiency of mass transfer than 25mm Pall ring. Also, in the absorption process, it produces high efficiency in the increase of load and concentration of absorption liquid and produces low efficiency in the increase of temperature. In the effect of overall mass transfer coefficient for 15% MEA on the temperature variation of absorbent, when absorbent temperature for 15% MEA varied as 25, 50, $80^{\circ}C$, overall mass transfer coefficients were shown as 0.83, 1.00, $0.90kmol/m^3-h-kPa$.

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Aromatic Formation from Vinyl Radical and Acetylene. A Mechanistic Study

  • Natalia, Debby;Indarto, Antonius
    • Bulletin of the Korean Chemical Society
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    • v.29 no.2
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    • pp.319-322
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    • 2008
  • The viability of acetylene addition in each step of aromatic formation initiated by vinyl radical and acetylene also with its competition with structure rearrangement is investigated by determining optimal geometries and barrier and reaction energies using quantum mechanical methods. In principle, the addition reaction has more difficult in term of free energy and enthalpy compared to geometry arrangement. Under combustion conditions, i.e. T = 1200 K, acetylene addition is unfavorable mechanism as the barrier energy values rise much higher than that of geometry arrangement. However, in longer chain hydrocarbon case, e.g. n-CxHx+1 where x ³ 8, C-C bond rotation is rather difficult and requires high energy to form a ring structure, elongation chain is preferable.