• Communications of the Korean Mathematical Society
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• v.35 no.4
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• pp.1087-1093
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• 2020

The aim of this paper is to show that every Engel quasinormal subgroups of the unit group of a division ring with uncountable center is central.

• Communications of the Korean Mathematical Society
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• v.26 no.3
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• pp.349-371
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• 2011

Using the "belongs to" relation and "quasi-coincident with" relation between a fuzzy point and a fuzzy subgroup, Bhakat and Das, in 1992 and 1996, initiated general types of fuzzy subgroups which are a generalization of Rosenfeld's fuzzy subgroups. In this paper, more general notions of "belongs to" and "quasi-coincident with" relation between a fuzzy point and a fuzzy set are provided, and more general formulations of general types of fuzzy (normal) subgroups by Bhakat and Das are discussed. Furthermore, general type of coset is introduced, and related fundamental properties are investigated.

• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.653-662
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• 2005

In this paper we shall give the relationships among $T_R,\;End_{R}(M),\;SEnd_{R}(M)\;and\;SAut_R(M)$ when M is a perfect R-module. If M and N are perfect modules, we get $SAut_{R}(M {\times}N){\cong}SAut_{R}(M){\times}SAut_R(N)$. Also we shall discuss that $_x(M)_H$ is a subgroup of $_x(M)$ if M is quasi-perfect and $_x(M)_H$ is a normal subgroup of $_x(M)$ if M is perfect.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.571-583
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• 2004

In this paper we shall discuss the quasi-perfect automata associated with power automata. We shall give the fact that x(M)/ HX is normal subgroup of the characteristic semigroup x(M) if the automaton A is quasi-perfect and x(M)/HX = x$(M)_H$ if A is perfect. Moreover, it is a very interesting part that x$(M)_H$ is conjugate to x$(M)_{Ha}$ for every a $\in$ X. Also we shall give a characterization of Ha = Hb for x$(M)_H$.

• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.771-778
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• 2005

In this paper we shall give some group properties derived from the characteristic ring-module $_X(M)$, using the fact that $_X(M)_H$ is a conjugate to $_X(M)_{Ha}$ when M is an invertible right R-module. Also we shall prove that_X(M)$ is group-isomorphic to TR and some normal subgroup properties if M is invertible and R is commutative.

• Korean Journal of Adult Nursing
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• v.27 no.1
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• pp.94-105
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• 2015

Purpose: This study was aimed to investigate the effects of the nutritional intervention program including DASH diet education and calcium/vitamin D supplements in Korean elderly women. Methods: This was a quasi-experimental study employing non-equivalent control group pretest-posttest design. The experimental group (n=26) was given DASH diet education and supplements (calcium 1200mg and vitamin 800 IU) while the control group (n=16) was given only general health consults. After the interventions, differences were analyzed in nutrient intake, bone turnover markers and bone mineral density between the two groups. Results: After one year, bone mineral density was found reduced in both groups, but showed higher levels (p=.003) in the experimental group than the control group. After research, nutrient intakes of participants improved generally, yet there was no significant difference between the two groups. The experimental group was divided into subgroups after interventions according to the level of calcium intake, and bone density and bone markers were compared between the subgroups. In a subgroup whose calcium intake was in the normal range, bone mineral density was significantly high (p=.002) while CTx and osteocalcin were significantly low (p=.003, p=.006, respectively). Conclusion: This study is significant in that it provided a nutritional intervention program for one year to elderly women who are susceptible to osteoporosis and severely low in dietary calcium intake and it proved to be effective.