• Journal of the Korean Mathematical Society
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• v.48 no.1
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• pp.207-222
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• 2011

Let R be a commutative ring and let M be a GV -torsionfree R-module. Then M is said to be a $\omega$-module if $Ext_R^1$(R/J, M) = 0 for any J $\in$ GV (R), and the w-envelope of M is defined by $M_{\omega}$ = {x $\in$ E(M) | Jx $\subseteq$ M for some J $\in$ GV (R)}. In this paper, $\omega$-modules over commutative rings are considered, and the theory of $\omega$-operations is developed for arbitrary commutative rings. As applications, we give some characterizations of $\omega$-Noetherian rings and Krull rings.

• Bulletin of the Korean Mathematical Society
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• v.59 no.5
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• pp.1289-1304
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• 2022

In this note, we show that a strongly 𝜙-ring R is a 𝜙-PvMR if and only if any 𝜙-torsion-free R-module is 𝜙-w-flat, if and only if any GV-torsion-free divisible R-module is nonnil-absolutely w-pure, if and only if any GV-torsion-free h-divisible R-module is nonnil-absolutely w-pure, if and only if any finitely generated nonnil ideal of R is w-projective.

• Journal of the Korean Mathematical Society
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• v.51 no.3
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• pp.509-525
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• 2014

Let R be a commutative ring with identity. An R-module M is said to be w-projective if $Ext\frac{1}{R}$(M,N) is GV-torsion for any torsion-free w-module N. In this paper, we define a ring R to be w-semi-hereditary if every finite type ideal of R is w-projective. To characterize w-semi-hereditary rings, we introduce the concept of w-injective modules and study some basic properties of w-injective modules. Using these concepts, we show that R is w-semi-hereditary if and only if the total quotient ring T(R) of R is a von Neumann regular ring and $R_m$ is a valuation domain for any maximal w-ideal m of R. It is also shown that a connected ring R is w-semi-hereditary if and only if R is a Pr$\ddot{u}$fer v-multiplication domain.

• Journal of Acupuncture Research
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• v.26 no.3
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• pp.133-147
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• 2009

Objectives : To review RCTs on acupuncture treatment for low back pain in order to establish a standard acupuncture treatment model in treating low back pain. Methods : RCT articles on traditional acupuncture treatment for low back pain were searched through online database. Study Quality was assessed using the FEAS. Results : Ten out of the one hundred six articles searched were reviewed. Among the ten articles reviewed, six articles compared acupuncture treatment with no treatment or non-penetrating sham acupuncture. All six articles concluded significantly positive effect of acupuncture compared to the control. Conclusions : The ideal acupuncture treatment model for low back pain was obtained as follows. A sterile disposable stainless steel(0.30mm${\times}$40mm) should be inserted to more than six acupuncture points on the BL, GV and GB meridians such as $BL_23$, $BL_25$, $BL_40$, $BL_60$, $GV_4$ and $GB_30$. Sparrow pecking method to obtain 'de-qi' is recommended and repeated stimulation during the 20 minute retention time is necessary. Ideal treatment frequency would be more than one a week for about 7 weeks.

• Journal of Astronomy and Space Sciences
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• v.32 no.4
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• pp.281-287
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• 2015

Two mini neutron monitors are installed at Concordia research station (Dome C, Central Antarctica, $75^{\circ}06^{\prime}S$, $123^{\circ}23^{\prime}E$, 3,233 m.a.s.l.). The site has unique properties ideal for cosmic ray measurements, especially for the detection of solar energetic particles: very low cutoff rigidity < 0.01 GV, high elevation and poleward asymptotic acceptance cones pointing to geographical latitudes > $75^{\circ}S$. The instruments consist of a standard neutron monitor and a "bare" (lead-free) neutron monitor. The instrument operation started in mid-January 2015. The barometric correction coefficients were computed for the period from 1 February to 31 July 2015. Several interesting events, including two notable Forbush decreases on 17 March 2015 and 22 June 2015, and a solar particle event of 29 October 2015 were registered. The data sets are available at cosmicrays.oulu.fi and nmdb.eu.