• 대한수학회보
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• 제20권1호
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• pp.45-49
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• 1983

If R is ring and M is a right (or left) R-module, then M is called a faithful R-module if, for some a in R, x.a=0 for all x.mem.M then a=0. In [4], R.E. Johnson defines that M is a prime module if every non-zero submodule of M is faithful. Let us define that M is of prime type provided that M is faithful if and only if every non-zero submodule is faithful. We call a right (left) ideal I of R is of prime type if R/I is of prime type as a R-module. This is equivalent to the condition that if xRy.subeq.I then either x.mem.I ro y.mem.I (see [5:3:1]). It is easy to see that in case R is a commutative ring then a right or left ideal of a prime type is just a prime ideal. We have defined in [5], that a chain of right ideals of prime type in a ring R is a finite strictly increasing sequence I$_{0}$.contnd.I$_{1}$.contnd....contnd.I$_{n}$; the length of the chain is n. By the right dimension of a ring R, which is denoted by dim, R, we mean the supremum of the length of all chains of right ideals of prime type in R. It is an integer .geq.0 or .inf.. The left dimension of R, which is denoted by dim$_{l}$ R is similarly defined. It was shown in [5], that dim$_{r}$R=0 if and only if dim$_{l}$ R=0 if and only if R modulo the prime radical is a strongly regular ring. By "a strongly regular ring", we mean that for every a in R there is x in R such that axa=a=a$^{2}$x. It was also shown that R is a simple ring if and only if every right ideal is of prime type if and only if every left ideal is of prime type. In case, R is a (right or left) primitive ring then dim$_{r}$R=n if and only if dim$_{l}$ R=n if and only if R.iden.D$_{n+1}$ , n+1 by n+1 matrix ring on a division ring D. in this paper, we establish the following results: (1) If R is prime ring and dim$_{r}$R=n then either R is a righe Ore domain such that every non-zero right ideal of a prime type contains a non-zero minimal prime ideal or the classical ring of ritght quotients is isomorphic to m*m matrix ring over a division ring where m.leq.n+1. (b) If R is prime ring and dim$_{r}$R=n then dim$_{l}$ R=n if dim$_{l}$ R=n if dim$_{l}$ R<.inf. (c) Let R be a principal right and left ideal domain. If dim$_{r}$R=1 then R is an unique factorization domain.TEX>R=1 then R is an unique factorization domain.

• 복식
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• 제51권5호
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• pp.5-16
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• 2001

The purpose of the study was to investigate the body cathexis, ideal body shape, clothing satisfaction and their interrelationships. The subjects were 445 middle- and high- school girls. The findings were as follows : the subjects were more satisfied with their face appearance than body parts. They were very unsatisfied with thigh. leg and weight. Generally they were more satisfied with upper body than lower body, and more satisfied with length measurements than girth measurements. They accepted 169.19cm as ideal height and 49.18kg as ideal weight. The middle-school girls wanted to be taller than high-school girls by 3cm. But the ideal weight of both were almost same. The Rohrer indices indicated that the subjects were normal to slender type. But the Rohrer indices calculated using ideal height and ideal weight showed that the subjects thought extremely slender type as ideal body shape. The attitude of body was evaluated by two factors. the awareness of body shape and the physical attractiveness. The awareness of body shape was deeply influenced by girth measurements and lower body parts. And physical attractiveness was severely affected by face appearance. Weight was more important than height in regard to body cathexis. The ideal body shape was independent of individual situation but was formed by social value. The satisfaction of clothing in terms of design related aspects was influenced by body cathexis. Also the more satisfied with their body. the more they felt comfortable for their clothing. The body cathexis was interrelated with the satisfaction of clothing in some aspects.

• 한국학교보건학회지
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• 제23권2호
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• pp.125-132
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• 2010

Purpose: In an attempt to investigate the ideal body image, body importance and body satisfaction by gender role identity, this study was carried out in male college students. Methods: The subjects were 323 male college students in all of Korea except Jeju province. The data was collected by using the questionnaires, Korean Sex Role Inventory and modified Multidimensional Body-Self Questionnaire. Results: Normal shape ranked first as ideal body image in all 4 types of gender role identity. Androgyny, femininity and masculinity type were significantly higher than undifferentiated type in body importance. And androgyny and masculinity type were significantly higher than femininity and undifferentiated type in body satisfaction. Conclusion: Androgyny and masculinity type were positively related to self body image, but undifferentiated type was negatively related to compared with androgyny and masculinity type. And to reinforce androgyny and masculinity in male college students, various programs should be developed.

• 복식문화연구
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• 제9권5호
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• pp.723-733
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• 2001

The purposes of this study were 1) to examine the effects of the difference between actual and perceived body type and body cathexis on satisfaction with fit and 2) to identify the effect of the difference between chronological and ideal age of middle-aged woman on satisfaction with fit of ready-to-wear. For this study, questionnaires were administered to 500 middle-aged woman in Kwangju. Employing 402 respondents, data were analyzed by using $X^2$-test, t-test and Pearson Correlation. The results were as follows; 1) There were significant differences between actual and perceived body types among middle-aged women. Those who were inconsistent with actual and perceived body types had a tendency to perceive themselves to be obeser than actual body. 2) Those who were inconsistent with actual and perceived body types had a lower satisfaction level with apparel fit sites at jacket length, hip width, crotch length and waist width than those who were consistent with actual and perceived body types. 3) Correlation for body cathexis and satisfaction with fit of ready-to-wear was significantly positive. 4) There were significant differences between chronological and ideal ages. 5) Those who were inconsistent with chronological and ideal ages had a lower satisfaction level with apparel fit sites at neckline, shoulder width, bust, sleeve length, sleeve width, Jacket length, waist width, hip width and skirt length than those who were consistent with chronological and ideal ages.

• 대한수학회논문집
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• 제12권3호
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• pp.507-511
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• 1997

In this paper, we give the characterizations of right(left) semiregular $po$-semigroups using the notions of some type ideals.

• East Asian mathematical journal
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• 제6권2호
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• pp.167-182
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• 1990

The relationships between submodules of a module and ideals of the endomorphism ring of a module had been studied in [1]. For a submodule L of a moudle M, the set $I^L$ of all endomorphisms whose images are contained in L is a left ideal of the endomorphism ring End (M) and for a submodule N of M, the set $I_N$ of all endomorphisms whose kernels contain N is a right ideal of End (M). In this paper, author defines an H-invariant module and proves that every submodule of an H-invariant module is the image and kernel of unique endomorphisms. Every ideal $I^L(I_N)$ of the endomorphism ring End(M) when M is H-invariant is a left (respectively, right) principal ideal of End(M). From the above results, if a module M is H-invariant then each left, right, or both sided ideal I of End(M) is an intersection of a left, right, or both sided principal ideal and I itself appropriately. If M is an H-invariant module then the ACC on the set of all left ideals of type $I^L$ implies the ACC on M. Also if the set of all right ideals of type $I^L$ has DCC, then H-invariant module M satisfies ACC. If the set of all left ideals of type $I^L$ satisfies DCC, then H-invariant module M satisfies DCC. If the set of all right ideals of type $I_N$ satisfies ACC then H-invariant module M satisfies DCC. Therefore for an H-invariant module M, if the endomorphism ring End(M) is left Noetherian, then M satisfies ACC. And if End(M) is right Noetherian then M satisfies DCC. For an H-invariant module M, if End(M) is left Artinian then M satisfies DCC. Also if End(M) is right Artinian then M satisfies ACC.

• 한국의류학회지
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• 제28권7호
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• pp.974-982
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• 2004

The purpose of this study was to examine the influence of belief in body control on appearance satisfaction using structural equation modeling. In the structural equation model, self-esteem was included as a common predictor variable of belief in body control and appearance satisfaction, and the ideal body type and perceived body type were included as mediator variables. The data was collected from 96 female college students in the State of Washington, United States, Using AMOS 4, confirmatory factor analyses were conducted to fit the measurement models, and then the fit of the structural model was examined. The results of this study are as follows: The indirect effect of belief in body control on appearance satisfaction through its negative effect on ideal body type was significant. Yet, the direct path of belief in body control to appearance satisfaction and the indirect path through their common relationships with self-esteem were found not significant. These results indicate that higher body control belief may lead to lower appearance satisfaction due to the decreased size of ideal body type.

• 대한수학회논문집
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• 제34권1호
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• pp.113-125
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• 2019

In this paper, we introduce the elimination ideal $I_D(G)$ associated to a simple finite graph G. We obtain the upper bound of Castelnuovo-Mumford regularity of elimination ideal for various classes of graphs.

• 사회복지연구
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• 제49권3호
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• pp.179-208
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• 2018

본 논문은 한국사회 위기에 대한 대응으로 시민포용성의 중요성을 강조하고 한국사회의 시민포용성 수준을 분석하는 목적을 가지고 있다. 이를 위해 기부와 자원봉사라는 행위요소와 시민인식이라는 의식요소로 시민포용성의 이상적 모델을 구성하고 퍼지 셋 이념형분석을 실시하였다. 17개 시도자치단체의 지역단위 공간범위를 시민포용성 실현을 위한 실증 연구의 분석단위로 설정하였다. 분석결과, 한국의 지역사회는 세 가지 요소들의 조합을 기반으로 6가지 이념형으로 나눠졌다: 행위요소(기부 자원봉사)와 의식요소(시민인식)가 모두 높은 지역, 행위요소 중 어느 한 가지와 의식요소가 높은 지역, 기부, 자원봉사, 그리고 시민인식 중 한가지만이 높은 지역, 그리고 행위요소와 인식요소가 모두 낮은 지역. 시민포용성이 높은 사회는 서로 다른 사회집단이 자유롭게 만들어짐과 동시에 상호존중과 인정이라는 다원주의 규범화를 이룰 때 가능해질 수 있다. 본 연구는 시민포용성을 향상시키기 위한 다양한 정책적 함의를 제시하면서 정리하고 있다.

• 대한수학회보
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• 제61권1호
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• pp.83-92
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• 2024

Let R be a commutative ring with nonzero identity and M be an R-module. In this paper, we first introduce the concept of S-idempotent element of R. Then we give a relation between S-idempotents of R and clopen sets of S-Zariski topology. After that we define S-pure ideal which is a generalization of the notion of pure ideal. In fact, every pure ideal is S-pure but the converse may not be true. Afterwards, we show that there is a relation between S-pure ideals of R and closed sets of S-Zariski topology that are stable under generalization.