• 제목/요약/키워드: Isomorphism

검색결과 199건 처리시간 0.021초

CLASSIFICATION OF ASSOCIATION SCHEMES WITH 18 AND 19 VERTICES

  • Hanaki, A.;Miyamoto, I.
    • Journal of applied mathematics & informatics
    • /
    • 제5권3호
    • /
    • pp.633-642
    • /
    • 1998
  • The isomorphism classes of association schemes with 18 and 19 vertices are classified. We obtain 95 isomorphism classes of association schemes with 18 vertices and denote the representatives of the isomorphism classes as subschemes of 7 association schemes. We obtain 7 isomorphism classes of association schemes with 19 vertices and six of them are cyclotomic schemes.

ISOMORPHISM CLASSES OF CAYLEY PERMUTATION GRAPHS

  • Nam, Yun-Sun
    • 대한수학회지
    • /
    • 제34권2호
    • /
    • pp.337-344
    • /
    • 1997
  • In this paper, we study the isomorphism problem of Cayley permutation graphs. We obtain a necessary and sufficient condition that two Cayley permutation graphs are isomrphic by a direction-preserving and color-preserving (positive/negative) natural isomorphism. The result says that if a graph G is the Cayley graph for a group $\Gamma$ then the number of direction-preserving and color-preserving positive natural isomorphism classes of Cayley permutation graphs of G is the number of double cosets of $\Gamma^\ell$ in $S_\Gamma$, where $S_\Gamma$ is the group of permutations on the elements of $\Gamma and \Gamma^\ell$ is the group of left translations by the elements of $\Gamma$. We obtain the number of the isomorphism classes by counting the double cosets.

  • PDF

ISOMORPHISM CLASSES OF GENUS-3 POINTED TRIGONAL CURVES OVER FINITE FIELDS OF CHARACTERISTIC 2

  • Kang, Pyung-Lyun;Sun, Sun-Mi
    • 대한수학회보
    • /
    • 제46권5호
    • /
    • pp.917-930
    • /
    • 2009
  • We find all distinct representatives of isomorphism classes of genus-3 pointed trigonal curves and compute the number of isomorphism classes of a special class of genus-3 pointed trigonal curves including that of Picard curves over a finite field F of characteristic 2.

AN ISOMORPHISM FOR INFINITE DIMENSIONAL CALCULUS

  • Lee, Seok-Jong;Min, Kyung-Chan
    • 대한수학회논문집
    • /
    • 제13권3호
    • /
    • pp.475-480
    • /
    • 1998
  • We show that the foundational isomorphism exists in the category of filter convergence spaces which contains the category of Banach spaces as a replete subcategory.

  • PDF

한국 기업진단의 강제적 동질성(isomorphism)을 수반한 모집단학습: 삼성그룹과 현대그룹의 비교 (Population Learning with Coercive Isomorphism in the Korean Business Groups: A Comparison between the Samsung and Hyunda Group)

  • 이흥
    • 경영과학
    • /
    • 제17권1호
    • /
    • pp.87-116
    • /
    • 2000
  • The Purpose of the current study is to understand population learning with coercive isomorphism in the Korean Business Groups. Can we observe isomorphic phenomena by coercive isomorphism\ulcorner Why do these happen\ulcorner What mechanisms are embedded in the coercive isomorphism. To answer these questions this study focused on the two Korea's largest Chaeblos the Samsung and Hyundai. An empirical study to compared daily routines used in these two Chaeboles and contents analysis on the founders' characteristics were performed. Three major mechanisms were suggested as main processes to impact the formation of the coercive isomorpism in the two Korean Chaebols. Research implications were discussed at the end of study.

  • PDF

충청남도 사회적경제의 발전과 제도적 동형화 (The Development and Institutional Isomorphism of Social Economy in Chungnam Province)

  • 이홍택
    • 한국경제지리학회지
    • /
    • 제22권1호
    • /
    • pp.52-69
    • /
    • 2019
  • 이 논문의 목적은 충청남도 사회적경제의 발전과 그 과정에서 나타난 제도적 동형화의 실제를 고찰하는 데 있다. 충청남도의 사회적경제 기업은 급격한 양적 성장을 이루었으나, 공공주도의 정책 추진과 제도적 틀로 인해 제도적 동형화 현상이 심화되고 있다. 제도적 동형화란 조직이 제도적 환경에서 요구하는 규범이나 틀을 수용하는 과정에서 모든 조직의 형태나 활동이 유사해지는 현상을 말한다. 이러한 동형화 현상은 사회적경제 기업의 사회적가치 지향성과 혁신성을 저해하고 있다. 이에 실제 사례를 분석한 결과 사회적가치 지향성을 유지 강화시킬 수 있는 지역생태계가 구축되지 않을 경우 제도적 동형화가 더욱 심화되고 있었다. 사회적가치 창출은 제도를 충족하는 수준에 그치고 있으며, 가치 지향성도 약화되는 것으로 나타났다.

CONTINUITY OF HOMOMORPHISMS BETWEEN BANACH ALGEBRAS

  • Cho, Tae-Geun
    • 대한수학회보
    • /
    • 제20권2호
    • /
    • pp.71-74
    • /
    • 1983
  • The problems of the continuity of homomorphisms between Banach algebras have been studied widely for the last two decades to obtain various fruitful results, yet it is far from characterizing the calss of Banach algebras for which each homomorphism from a member of the class into a Banach algebra is conitnuous. For commutative Banach algebras A and B a simple proof shows that every homomorphism .theta. from A into B is continuous provided that B is semi-simple, however, with a non semi-simple Banach algebra B examples of discontinuous homomorphisms from C(K) into B have been constructed by Dales [6] and Esterle [7]. For non commutative Banach algebras the problems of automatic continuity of homomorphisms seem to be much more difficult. Many positive results and open questions related to this subject may be found in [1], [3], [5] and [8], in particular most recent development can be found in the Lecture Note which contains [1]. It is well-known that a$^{*}$-isomorphism from a $C^{*}$-algebra into another $C^{*}$-algebra is an isometry, and an isomorphism of a Banach algebra into a $C^{*}$-algebra with self-adjoint range is continuous. But a$^{*}$-isomorphism from a $C^{*}$-algebra into an involutive Banach algebra is norm increasing [9], and one can not expect each of such isomorphisms to be continuous. In this note we discuss an isomorphism from a commutative $C^{*}$-algebra into a commutative Banach algebra with dense range via separating space. It is shown that such an isomorphism .theta. : A.rarw.B is conitnuous and maps A onto B is B is semi-simple, discontinuous if B is not semi-simple.

  • PDF

한국 기업진단의 강제적 동질성(isomorphism)을 수반한 모집단학습: 삼성그룹과 현대그룹의 비교 (Population Learning with Coercive Isomorphism in the Korean Business Groups: A Comparison between the Samsung and Hyunda Group)

  • 이홍
    • 한국경영과학회지
    • /
    • 제17권1호
    • /
    • pp.87-87
    • /
    • 1992
  • The Purpose of the current study is to understand population learning with coercive isomorphism in the Korean Business Groups. Can we observe isomorphic phenomena by coercive isomorphism? Why do these happen? What mechanisms are embedded in the coercive isomorphism. To answer these questions this study focused on the two Korea's largest Chaeblos the Samsung and Hyundai. An empirical study to compared daily routines used in these two Chaeboles and contents analysis on the founders' characteristics were performed. Three major mechanisms were suggested as main processes to impact the formation of the coercive isomorpism in the two Korean Chaebols. Research implications were discussed at the end of study.