• 제목/요약/키워드: congruence relations

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ON THE LEET INVERSIVE SEMIRING CONGRUENCES ON ADDITIVB REGULAR SEMIRINGS

  • SEN M. K.;BHUNIYA A. K.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제12권4호
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    • pp.253-274
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    • 2005
  • An additive regular Semiring S is left inversive if the Set E+ (S) of all additive idempotents is left regular. The set LC(S) of all left inversive semiring congruences on an additive regular semiring S is a lattice. The relations $\theta$ and k (resp.), induced by tr. and ker (resp.), are congruences on LC(S) and each $\theta$-class p$\theta$ (resp. each k-class pk) is a complete modular sublattice with $p_{min}$ and $p_{max}$ (resp. With $p^{min}$ and $p^{max}$), as the least and greatest elements. $p_{min},\;p_{max},\;p^{min}$ and $p^{max}$, in particular ${\epsilon}_{max}$, the maximum additive idempotent separating congruence has been characterized explicitly. A semiring is quasi-inversive if and only if it is a subdirect product of a left inversive and a right inversive semiring.

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HARDILY RANKED BIGROUPOIDS

  • Ahn, Sun Shin;Ko, Jung Mi;So, Keum Sook
    • 대한수학회논문집
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    • 제28권3호
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    • pp.449-455
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    • 2013
  • The notion of hardily ranked bigroupoids is introduced and related properties are investigated. By considering congruence relations on a hardily ranked bigroupoid, the quotient structure of hardily ranked bigroupoids is discussed.

A NEW APPROACH TO FUZZY CONGRUENCES

  • Hur, Kul;Jang, Su-Youn;Lee, Keon-Chang
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권1호
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    • pp.7-16
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    • 2007
  • First, we investigate fuzzy equivalence relations on a set X in the sense of Youssef and Dib. Second, we discuss fuzzy congruences generated by a given fuzzy relation on a fuzzy groupoid. In particular, we obtain the characterizations of ${\rho}\;o\;{\sigma}{\in}$ FC(S) for any two fuzzy congruences ${\rho}\;and\;{\sigma}$ on a fuzzy groupoid ($S,{\odot}$). Finally, we study the lattice of fuzzy equivalence relations (congruences) on a fuzzy semigroup and give certain lattice theoretic properties.

사서의 직업사회화 경험의 통합 요인 - 질적 다방법 연구 - (Integrated Factors Related to Occupational Socialization of Librarians: A Qualitative Multimethod Study)

  • 김갑선
    • 한국도서관정보학회지
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    • 제41권4호
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    • pp.99-126
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    • 2010
  • 본 연구는 질적 다방법을 적용하여 복합 현상인 직업 사회화 경험의 실체이론을 구성하는 요인들을 통합 도출한 것이다. 순차적으로 이루어진 일련의 3개 질적 선행연구의 총 참여자는 이론적 표집에 의한 42명의 현직 사서 및 사서교사들이다. 질적 다방법 접근의 최종 통합방법으로서 근거이론 접근을 적용하여 3개의 선행연구 결과 및 심층면담자료의 최종분석과 비교, 재검토, 통합이 이루어졌다. 그 결과 도출된 통합 구성요인은 다음과 같다: 전공 공감, 주변부 인식 극복하기, 사회적 몰이해, 열악함, 업무 공감, 사회 변화, 이용자에 대한 인식, 도서관 조직문화, 조직인간관계, 지속교육과 교류, 전문성 추구, 업무 전략, 대인관계 전략, 슬럼프와 위기 대응 전략, 개인 성장 및 발전도모전략, 조직 대응 및 몰인식 대응 전략, 사서직과 자아일치, 자아 불일치.

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한국과 미국의 초등학교 저학년 수학 교과서 및 교육과정의 비교와 분석 (Comparison and Analysis of Mathematics Curriculums for lower graders)

  • 김연미
    • 대한수학교육학회지:수학교육학연구
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    • 제9권1호
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    • pp.121-132
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    • 1999
  • We have compared Korean and American mathematics curriculums in 5 areas: whole number(concepts and its operations); geometry; pattern and relations; measurements; statistics and probability. We have found significant differences in geometry area. Korean curriculums contain simple planar figures (circles, triangles, rectangles, and squres) and some of the spatial figures until 3rd grades. But in America they learn various planar and spatial fugures(cone, pyramid, triangular prism, etc) since the 1st grade starts. They also start the 1st grade by dealing with topological concepts like open/closed, inside/outside, order, etc. As the grade goes on, students learn other geometrical concepts like congruence, symmetry, 3-dimensional views. We also found that American curriculum focuses on students' activities and courages communication through projects, groupwork, journal writing, etc. It's also superior in respects of motivation, and connections with real life and other subjects. Korean curriculum needs more improvements in these aspects. Furthermore for lower graders reviewing sections need to be enhanced for feedback.

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Genetic diversity and phylogenetic analysis of genus Paeonia based on nuclear ribosomal DNA ITS sequence

  • Sun, Yan-Lin;Hong, Soon-Kwan
    • Journal of Plant Biotechnology
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    • 제38권3호
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    • pp.234-240
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    • 2011
  • The genus Paeonia belongs to the family Paeoniaceae having significant medicinal and ornamental importance. The present investigation was undertaken with an aim to understand phylogenetic relationships of three Paeonia species (P. lactiflora, P. obovata, and P. suffruticosa) that are widely distributed in China, Korea, and Japan, using nuclear ribosomal DNA (nrDNA) internal transcribed spacer (ITS) sequence and to compare the phylogeny results with investigations reported earlier using existed sequences of the same species. The size variation obtained among sequenced nrDNA ITS region was narrow and ranged from 722 to 726 bp. The highest interspecific genetic distance (GD) was found between P. lactiflora and P. suffruticosa or P. obovata. The phylogram obtained using our nrDNA ITS sequences showed non-congruence with previous hypothesis of the phylogeny between section Paeonia and section Moutan of genus Paeonia. This result was supported by the phylogenetic relations showed in the phylogram constructed with existed sequences in NCBI. The present study suggested that P. obovata belonging to section Paeonia was phylogenetically closer to P. suffruticosa representing section Moutan of genus Paeonia than P. lactiflora belonging to section Paeonia. The main reason of the paraphyly of section Paeonia is thought to be nucleotide additivity directly caused by origin hybridization. This study provides more sequence sources of genus Paeonia, and will help for further studies in intraspecies population, and their phylogentic analysis and molecular evolution.

커피전문점 직원의 팔로워십이 리더-구성원 교환관계, 지식공유 및 직무태도에 미치는 영향 (The Effects of Followership of Coffee Speciality Members on LMX, Knowledge Sharing, and Job Attitude)

  • 김리경;박봉규
    • 디지털융복합연구
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    • 제14권7호
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    • pp.73-81
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    • 2016
  • 본 연구의 목적은 커피전문점에서 근무하는 직원을 대상으로 팔로워십 특성이 리더-구성원 교환관계, 지식공유, 직무태도에 미치는 영향에 대하여 검증하였다. 설문조사를 시행하여 317부를 구조방정식모형을 활용하여 가설들을 검증하였다. 연구 결과 팔로워십 특성에서는 두 요인, 목표일치성, 능동적 참여로 도출하였으며 두 요인 모두 리더-구성원 교환관계에 정(+)의 영향이 검증되었다. 또한 리더-구성원 교환관계는 지식공유에 정(+)의 영향을 미치며 지식공유 역시 직무만족에 정(+)의 영향, 이직의도에 부(-)의 영향을 미치는 것으로 나타났다. 지식공유가 직무태도에 영향을 미치는 것은 커피전문점의 직원들 간의 지식공유가 조직 내에서 중요한 변수임을 나타내고 있다. 시사점으로 본 연구에서의 팔로워십, 리더-구성원 교환관계 및 지식공유 등의 관계는 직원의 직무에 대한 만족을 가져올 수 있도록 유도하고 커피전문점 조직의 경험과 기술이 축적된 인력의 이탈을 막아 유능한 인적자원 확보에 도움이 될 것으로 보인다. 또한 본 연구의 시사점 및 한계점을 제시하였다.

REGULARITY OF TRANSFORMATION SEMIGROUPS DEFINED BY A PARTITION

  • Purisang, Pattama;Rakbud, Jittisak
    • 대한수학회논문집
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    • 제31권2호
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    • pp.217-227
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    • 2016
  • Let X be a nonempty set, and let $\mathfrak{F}=\{Y_i:i{\in}I\}$ be a family of nonempty subsets of X with the properties that $X={\bigcup}_{i{\in}I}Y_i$, and $Y_i{\cap}Y_j={\emptyset}$ for all $i,j{\in}I$ with $i{\neq}j$. Let ${\emptyset}{\neq}J{\subseteq}I$, and let $T^{(J)}_{\mathfrak{F}}(X)=\{{\alpha}{\in}T(X):{\forall}i{\in}I{\exists}_j{\in}J,Y_i{\alpha}{\subseteq}Y_j\}$. Then $T^{(J)}_{\mathfrak{F}}(X)$ is a subsemigroup of the semigroup $T(X,Y^{(J)})$ of functions on X having ranges contained in $Y^{(J)}$, where $Y^{(J)}:={\bigcup}_{i{\in}J}Y_i$. For each ${\alpha}{\in}T^{(J)}_{\mathfrak{F}}(X)$, let ${\chi}^{({\alpha})}:I{\rightarrow}J$ be defined by $i{\chi}^{({\alpha})}=j{\Leftrightarrow}Y_i{\alpha}{\subseteq}Y_j$. Next, we define two congruence relations ${\chi}$ and $\widetilde{\chi}$ on $T^{(J)}_{\mathfrak{F}}(X)$ as follows: $({\alpha},{\beta}){\in}{\chi}{\Leftrightarrow}{\chi}^{({\alpha})}={\chi}^{({\beta})}$ and $({\alpha},{\beta}){\in}\widetilde{\chi}{\Leftrightarrow}{\chi}^{({\alpha})}{\mid}_J={\chi}^{({\alpha})}{\mid}_J$. We begin this paper by studying the regularity of the quotient semigroups $T^{(J)}_{\mathfrak{F}}(X)/{\chi}$ and $T^{(J)}_{\mathfrak{F}}(X)/{\widetilde{\chi}}$, and the semigroup $T^{(J)}_{\mathfrak{F}}(X)$. For each ${\alpha}{\in}T_{\mathfrak{F}}(X):=T^{(I)}_{\mathfrak{F}}(X)$, we see that the equivalence class [${\alpha}$] of ${\alpha}$ under ${\chi}$ is a subsemigroup of $T_{\mathfrak{F}}(X)$ if and only if ${\chi}^{({\alpha})}$ is an idempotent element in the full transformation semigroup T(I). Let $I_{\mathfrak{F}}(X)$, $S_{\mathfrak{F}}(X)$ and $B_{\mathfrak{F}}(X)$ be the sets of functions in $T_{\mathfrak{F}}(X)$ such that ${\chi}^{({\alpha})}$ is injective, surjective and bijective respectively. We end this paper by investigating the regularity of the subsemigroups [${\alpha}$], $I_{\mathfrak{F}}(X)$, $S_{\mathfrak{F}}(X)$ and $B_{\mathfrak{F}}(X)$ of $T_{\mathfrak{F}}(X)$.