• Title/Summary/Keyword: normal ideal

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NORMAL BCI/BCK-ALGEBRAS

  • Meng, Jie;Wei, Shi-Ming;Jun, Young-Bae
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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    • pp.265-270
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    • 1994
  • In 1966, Iseki [2] introduced the notion of BCI-algebras which is a generalization of BCK-algebras. Lei and Xi [3] discussed a new class of BCI-algebra, which is called a p-semisimple BCI-algebra. For p-semisimple BCI-algebras, a subalgebra is an ideal. But a subalgebra of an arbitrary BCI/BCK-algebra is not necessarily an ideal. In this note, a BCI/BCK-algebra that every subalgebra is an ideal is called a normal BCI/BCK-algebra, and we give characterizations of normal BCI/BCK-algebras. Moreover we give a positive answer to the problem which is posed in [4].(omitted)

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A Study of Perception about Body Image in Adolescent Females -In Daegu City- (청년기 여성의 체형 인식에 대한 조사 연구 -대구지역을 중심으로-)

  • 류호경;윤진숙
    • Korean Journal of Community Nutrition
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    • v.4 no.4
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    • pp.554-560
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    • 1999
  • This study was conducted to find adolescent females perception of body image. The survey was carried out by self-questionnaires with 463 female school and college students in Daegu. Analysis of data was done using t-test, and ANOVA with the SAS computer program. The average height, weight and BMI of the subjects were 161.2cm, 53.4kg and 20.51kg/$m^2$. It appeared that 33.3% of the subjects were off the normal range of body weight ; in particular 25.1% of the subjects were under weight. While the subjects’perception of their own current body image was not distorted, they were dissatisfied with their body image because they wanted a very thin figure. Subjects were divided into 3 groups -underweight, normal weight, overweight-according to their current body size. Their perceptions of ideal and desired figures differed significantly between the groups, but they thought a thinner figure than normal body image as ideal and desired body image even in overweight group. As a result, dissatisfaction of body image in the overweight group was significantly larger than the normal-weight group, and that of the normal-weight group was larger than the underweight group. Percentages of weight control attempt were 51.7% and 64.7% in the normal weight and underweight subjects, respectively. Subjects were divided into 2 groups according to their weight control experience : those who have attempted, and who have not attempted. Weight control attemptees had a higher level of dissatisfaction with their body image than non-attemptees, both because weight control attemptees were fatter, and they perceived a thinner figure as an ideal and as a desired body image thin non-attemptees. From the results of this study, we confirmed that one of reasons of excessive weight control behavior among adolescent females was distorted perception about ideal body image.

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EXTENSIONS OF STRONGLY π-REGULAR RINGS

  • Chen, Huanyin;Kose, Handan;Kurtulmaz, Yosum
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.555-565
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    • 2014
  • An ideal I of a ring R is strongly ${\pi}$-regular if for any $x{\in}I$ there exist $n{\in}\mathbb{N}$ and $y{\in}I$ such that $x^n=x^{n+1}y$. We prove that every strongly ${\pi}$-regular ideal of a ring is a B-ideal. An ideal I is periodic provided that for any $x{\in}I$ there exist two distinct m, $n{\in}\mathbb{N}$ such that $x^m=x^n$. Furthermore, we prove that an ideal I of a ring R is periodic if and only if I is strongly ${\pi}$-regular and for any $u{\in}U(I)$, $u^{-1}{\in}\mathbb{Z}[u]$.

ON MULTIPLIERS ON BOOLEAN ALGEBRAS

  • Kim, Kyung Ho
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.4
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    • pp.613-629
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    • 2016
  • In this paper, we introduced the notion of multiplier of Boolean algebras and discuss related properties between multipliers and special mappings, like dual closures, homomorphisms on B. We introduce the notions of xed set $Fix_f(X)$ and normal ideal and obtain interconnection between multipliers and $Fix_f(B)$. Also, we introduce the special multiplier ${\alpha}_p$a nd study some properties. Finally, we show that if B is a Boolean algebra, then the set of all multipliers of B is also a Boolean algebra.

ELEMENTARY DISKS IN TRUNCATED TRIANGULATIONS

  • Kang, Ensil
    • The Pure and Applied Mathematics
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    • v.22 no.1
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    • pp.91-99
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    • 2015
  • A normal surface is determined by how the surface under consideration meets each tetrahedron in a given triangulation. We call such a nice embedded disk, which is a component of the intersection of the surface with a tetrahedron, an elementary disk. We classify all elementary disk types in a truncated ideal triangulation.

SEQUENTIAL METHOD FOR SETTING SURGICAL TREATMENT OBJECTIVES (Sequential Method for setting Surgical Treatment Objective STO수립을 위한 순차적 방법)

  • Choi, Byung-Taek
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.28 no.6
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    • pp.440-455
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    • 2002
  • The final goal for an orthognathic surgery is a functional and esthetic achievement based on occlusion theory. All the dental treatment should be done with the occlusion in mind, though, they tend to be ignored with no good reason. We cannot think of occlusion without temporomandibular joint because it is the first clue to define an occlusion. As normal occlusion comes from the central tendency of distribution of population, we can get it by examining the population that closely meet the criteria of ideal occlusion. To perform proper occlusal function and to maintain the stability after treatment, the case must be finished in normal occlusion closer to ideal one. Our aim is to achieve the ideal occlusal scheme like the mutually protected occlusion with the best masticatory efficiency and the stability. The facial esthetics are influened by culture, race and the time in which human live. While the occlusal function rarely changes as time goes by, esthetics tend to do from one country to another. Orthodontists and maxillofacial surgeons should have solid sets of treatment goals to achieve the best facial esthetics and the ideal occlusion dictated by the joint. Doing orthognathic surgery, two factors aforementioned should be taken into account to establish the Surgical Treatment Objectives(STO). The doctors who are planning orthognathic surgery need to have a very logical and systematic thought process to make STO. The author examined 28 selected beautiful Korean female adults with normal skeleton with normal occlusion and analyzed the hard and the soft tissue relationship into five parts : dentomaxillary relationship, intermaxillary relationship, posture to hard tissue relationship, facial balance, and posture to soft tissue relationship. This study presents a sequential flow of diagnosis and treatment planning especially for surgical patients and it also can be applied to the nonsurgical patients.

ABUNDANT SEMIGROUPS WITH QUASI-IDEAL S-ADEQUATE TRANSVERSALS

  • Kong, Xiangjun;Wang, Pei
    • Communications of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.1-12
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    • 2011
  • In this paper, the connection of the inverse transversal with the adequate transversal is explored. It is proved that if S is an abundant semigroup with an adequate transversal $S^o$, then S is regular if and only if $S^o$ is an inverse semigroup. It is also shown that adequate transversals of a regular semigroup are just its inverse transversals. By means of a quasi-adequate semigroup and a right normal band, we construct an abundant semigroup containing a quasi-ideal S-adequate transversal and conversely, every such a semigroup can be constructed in this manner. It is simpler than the construction of Guo and Shum [9] through an SQ-system and the construction of El-Qallali [5] by W(E, S).

A HALF-CENTERED STAR-OPERATION ON AN INTEGRAL DOMAIN

  • Qiao, Lei;Wang, Fanggui
    • Journal of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.35-57
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    • 2017
  • In this paper, we study the natural star-operation defined by the set of associated primes of principal ideals of an integral domain, which is called the g-operation. We are mainly concerned with the ideal-theoretic properties of this star-operation. In particular, we investigate DG-domains (i.e., integral domains in which each ideal is a g-ideal), which form a proper subclass of the DW-domains. In order to provide some original examples, we examine the transfer of the DG-property to pullbacks. As an application of the g-operation, it is shown that w-divisorial Mori domains can be seen as a Gorenstein analogue of Krull domains.

A Study on the Real Somatotype and the Recognized Somatotype of Middle Ages Women (중년 여성의 실제 체형과 이상적 체형에 관한 연구)

  • Lee, Young-A;Lee, Sang-Eun
    • Journal of the Korea Fashion and Costume Design Association
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    • v.10 no.1
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    • pp.1-9
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    • 2008
  • The purpose of this research is to lay the foundation that middle aged woman takes care of more healthy, beautiful, attractive external features and prepares successful ageing on studying a difference of recognition between an actual somatotype and an ideal somatotype after we examine an actual somatotype and an ideal somatotype in the object of about $40{\sim}50$ middle-aged woman, dwells in Seoul, is the main group of a home consumption socially. The result of comparing a difference between an actual somatotype and an ideal somatotype was showing that in case of a facial form, the group which their faces are an egg-shaped prefers an egg-shaped and the group which their faces are a round-shaped prefers a round-shaped. In case of a silhouette, all groups prefers a normal type most. In case of a shoulder's type, all groups prefer a normal type most. In case of a shoulder-waist line, all groups prefers a Y line most. In case of a breast's form, all groups prefer a normal type most. In case of a back's form, all groups prefer a normal type most. In case of a buttocks' form, all groups prefers a normal type most. In case of a leg's form, all groups prefers a normal type most. On putting together research result as yet, middle aged women wish a similar somatotype irrespective of an age, an obesity measurement and this means a recognition of making an effort to be beautiful is alike. Therefore, it is necessary to recognize a somatotype of middle aged women uprightly and it must be accomplished a continuous, systematic consultation and education about a weight-control on exercising and not to mention of making a desirable eating habit.

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