• Title/Summary/Keyword: f-ideal

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ON THE κ-REGULAR SEQUENCES AND THE GENERALIZATION OF F-MODULES

  • Ahmadi-Amoli, Khadijeh;Sanaei, Navid
    • Journal of the Korean Mathematical Society
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    • v.49 no.5
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    • pp.1083-1096
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    • 2012
  • For a given ideal I of a Noetherian ring R and an arbitrary integer ${\kappa}{\geq}-1$, we apply the concept of ${\kappa}$-regular sequences and the notion of ${\kappa}$-depth to give some results on modules called ${\kappa}$-Cohen Macaulay modules, which in local case, is exactly the ${\kappa}$-modules (as a generalization of f-modules). Meanwhile, we give an expression of local cohomology with respect to any ${\kappa}$-regular sequence in I, in a particular case. We prove that the dimension of homology modules of the Koszul complex with respect to any ${\kappa}$-regular sequence is at most ${\kappa}$. Therefore homology modules of the Koszul complex with respect to any filter regular sequence has finite length.

Variations in radiochemical purity according to temperature of storage and radical scavenger

  • Kim, Deok Ju;Kim, Min Soo;Kim, Jin Seok;Bae, Yeon Gyu;Sun, Chan Young;Choi, Seung Jae;Lee, Sang-Yoon
    • Journal of Radiopharmaceuticals and Molecular Probes
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    • v.2 no.2
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    • pp.132-136
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    • 2016
  • Radiolysis is the process of decreasing in Radio-Chemical Purity (RCP) of [$^{18}F$]FDG by direct effect and indirect effect of self Radio-activity. The objective of our study was to figure out the ideal conditions which minimize damages of quality of [$^{18}F$]FDG using radical scavenger and controlling temperature of storage.

Efficient time domain equalizer design for DWMT data transmission (DWMT 데이타 전송을 위한 효율적인 시간영역 등화기 설계)

  • 홍훈희;박태윤;유승선;곽훈성;최재호
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.69-72
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    • 1999
  • In this paper, an efficient time domain equalization algorithm for discrete wavelet multitone(DWMT) data transmission is developed. In this algorithm, the time domain equalizer(TEQ) consists of two stages, i.e., the channel impulse response shortening equalizer(TEQ-S) in the first stage and the channel frequency flattening equalizer(TEQ-F) in the second stage. TEQ-S reduces the length of transmission channel impulse response to decrease intersymbol interference(ISI) followed by TEQ-F that enhances the channel frequency response characteristics to the level of an ideal channel, hence diminishes the bit error rate. TEQ-S is implemented using the least-squares(LS) method, while TEQ-F is designed by using the least mean-square(LMS) algorithm. Since DWMT system also requires of the frequency domain equalizer in order to further reduce ICI and ISI the hardware complexity is an another concern. However, by adopting an well designed and trained TEQ, the hardware complexity of the whole DWMT system can be greatly reduced.

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THE OHM-RUSH CONTENT FUNCTION III: COMPLETION, GLOBALIZATION, AND POWER-CONTENT ALGEBRAS

  • Epstein, Neil;Shapiro, Jay
    • Journal of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1311-1325
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    • 2021
  • One says that a ring homomorphism R → S is Ohm-Rush if extension commutes with arbitrary intersection of ideals, or equivalently if for any element f ∈ S, there is a unique smallest ideal of R whose extension to S contains f, called the content of f. For Noetherian local rings, we analyze whether the completion map is Ohm-Rush. We show that the answer is typically 'yes' in dimension one, but 'no' in higher dimension, and in any case it coincides with the content map having good algebraic properties. We then analyze the question of when the Ohm-Rush property globalizes in faithfully flat modules and algebras over a 1-dimensional Noetherian domain, culminating both in a positive result and a counterexample. Finally, we introduce a notion that we show is strictly between the Ohm-Rush property and the weak content algebra property.

Density of Molten Salt Mixtures of Eutectic LiCl-KCl Containing UCl3, CeCl3, or LaCl3

  • Zhang, C.;Simpson, M.F.
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.15 no.2
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    • pp.117-124
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    • 2017
  • Densities of molten salt mixtures of eutectic LiCl-KCl with $UCl_3$, $CeCl_3$, or $LaCl_3$ at various concentrations (up to 13 wt%) were measured using a liquid surface displacement probe. Linear relationships between the mixture density and the concentration of the added salt were observed. For $LaCl_3$ and $CeCl_3$, the measured densities were significantly higher than those previously reported from Archimedes' method. In the case of $LiCl-KCl-UCl_3$, the data fit the ideal mixture density model very well. For the other salts, the measured densities exceeded the ideal model prediction by about 2%.

DESIRABLE PARAMETER IDENTIFICATION FOR THE IMPLEMENTATION OF IDEAL PASSIVE FAULT CURRENT LIMITER FOR THE PROTECTION OF POWER SEMICONDUCTOR DEVICES

  • Mukhopadhyay, S.C.;Iwahara, M.;Yamada, S.;Dawson, F.P.
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.859-864
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    • 1998
  • Compact and small size, reliable and failsafe operation and low cost featuring fault current limiter causing the designer to take a close look into the use of passive fault current limiter(FCL) for the protection of power semiconductor devices in power electronic systems. This paper has identified the main parameters responsible for the development of ideal passive magnetic current limiter. The effect of those parameters on the range of operation and the voltage-current characteristics of the magnetic current limiter has been studied using tableau approach. Desirable characteristics are discussed and the simulation results are presented.

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Blank Design for the General Shaped Deep Drawing Products by F.E.M (유한요소법을 이용한 임의의 단면 딥드로잉 제품의 소재형상설계)

  • Kim, Sang-Do;Park, Min-Ho;Seo, Dae-Gyo
    • Transactions of Materials Processing
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    • v.4 no.4
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    • pp.302-321
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    • 1995
  • A method of determining an optimum blank shape for the non-circular deep drawing process is investigated. The rigid-plastic finite element method is introduced and the computer program code is developed. The ideal shape of a drawn cup with uniform wall height is assumed and metal flow is traced back-ward step by step to predict an initial blank shape of the ideal cup. For examples of the non-circular deep drawing products, three cases of drawn cup with quadrilateral punch shape are considered and optimum blank shapes for each case are proposed and compared with experimental results.

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Variants of Compactness in Pointfree Topology

  • Banaschewski, Bernhard;Hong, Sung Sa
    • Kyungpook Mathematical Journal
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    • v.45 no.4
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    • pp.455-470
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    • 2005
  • This paper introduces compactness notions for frames which are expressed in terms of the convergence of suitably specified general filters. It establishes several preservation properties for them as well as their coreflectiveness in the setting of regular frames. Further, it shows that supercompact, compact, and $Lindel{\ddot{o}}f$ frames can be described by compactness conditions of the present form so that various familiar facts become consequences of these general results. In addition, the Prime Ideal Theorem and the Axiom of Countable Choice are proved to be equivalent to certain conditions connected with the kind of compactness considered here.

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Effect of a Resident and Indoor Environmental Characteristics on the House Dust Mites Allergen (주거환경 특성에 따른 집먼지진드기 항원량에 관한 조사)

  • Kim, Yong-Soon;Park, Jee-Won;Song, Young-Shin
    • Research in Community and Public Health Nursing
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    • v.13 no.1
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    • pp.79-88
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    • 2002
  • Purpose: The purpose of this study was to identify the indoor environment i.e. house type and age, ventilation method, use of bed & sofa, cockroach, ants, etc. on HDM (House dust mites), especially Der fI allergen. Method: Samples of dust from mattresses, pillows and the floor were collected by using a vacuum cleaner from April. 2000. The amount of Group I allergen(Der. fI) of HDM (house dust mites) were measured by two-site ELISA. Indoor Environmental characteristics were accessed by using questionnaires on 178 house wives living in the Seoul area. Results: The amount of HDM allergen (Der fI) was higher in sofa using house. There were higher concentrations of HDM allergen (Der fI) in sofas made from quilt material than for those that were made from leather. Homes that had pets like dogs living in them had higher concentrations of HDM allergen (Der fI) than without dogs. Conclusion: The photophobic mites thrive in dark. warm and humid environments; Items such as pillows. mattresses, box springs, blankets. carpets. and upholstered furniture should be considered ideal environments for the mite. Therefore, an indoor environmental control program should be carried out to avoid the HDM allergen.

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ON GRAPHS ASSOCIATED WITH MODULES OVER COMMUTATIVE RINGS

  • Pirzada, Shariefuddin;Raja, Rameez
    • Journal of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1167-1182
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    • 2016
  • Let M be an R-module, where R is a commutative ring with identity 1 and let G(V,E) be a graph. In this paper, we study the graphs associated with modules over commutative rings. We associate three simple graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ to M called full annihilating, semi-annihilating and star-annihilating graph. When M is finite over R, we investigate metric dimensions in $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$. We show that M over R is finite if and only if the metric dimension of the graph $ann_f({\Gamma}(M_R))$ is finite. We further show that the graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ are empty if and only if M is a prime-multiplication-like R-module. We investigate the case when M is a free R-module, where R is an integral domain and show that the graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ are empty if and only if $$M{\sim_=}R$$. Finally, we characterize all the non-simple weakly virtually divisible modules M for which Ann(M) is a prime ideal and Soc(M) = 0.