• Title/Summary/Keyword: isomorphism

Search Result 198, Processing Time 0.024 seconds

CLASSIFICATION OF ASSOCIATION SCHEMES WITH 18 AND 19 VERTICES

  • Hanaki, A.;Miyamoto, I.
    • Journal of applied mathematics & informatics
    • /
    • v.5 no.3
    • /
    • 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 ELLIPTIC CURVES OVER FINITE FIELDS WITH CHARACTERISTIC 3

  • Jeong, Eunkyung
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.22 no.3
    • /
    • pp.299-307
    • /
    • 2009
  • We count the isomorphism classes of elliptic curves over finite fields $\mathbb{F}_{3^{n}}$ and list a representative of each isomorphism class. Also we give the number of rational points for each supersingular elliptic curve over $\mathbb{F}_{3^{n}}$.

  • PDF

ISOMORPHISM CLASSES OF CAYLEY PERMUTATION GRAPHS

  • Nam, Yun-Sun
    • Journal of the Korean Mathematical Society
    • /
    • v.34 no.2
    • /
    • 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
    • Bulletin of the Korean Mathematical Society
    • /
    • v.46 no.5
    • /
    • 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
    • Communications of the Korean Mathematical Society
    • /
    • v.13 no.3
    • /
    • 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

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

  • Lee, Hong
    • Korean Management Science Review
    • /
    • v.17 no.1
    • /
    • 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

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

  • Lee, Hongtaek
    • Journal of the Economic Geographical Society of Korea
    • /
    • v.22 no.1
    • /
    • pp.52-69
    • /
    • 2019
  • The aim of this study is to examine the development of social economy and institutional isomorphism in Chungnam Province. Although 'social economy enterprises' in Chungnam Province achieved rapid quantitative growth, public-led policy and institutional framework has intensified institutional isomorphism. Institutional isomorphism is a phenomenon in which all type of organization and activities become similar in an institutional environment. This isomorphism hinders the social value orientation and innovation of social economic enterprises. As a result of the case analysis, institutional isomorphization was intensified if regional ecosystem(that can maintain and strengthen social value orientation) was not established. The creation of social value is at a level that satisfies the institution and the social value orientation is also weakened.

CONTINUITY OF HOMOMORPHISMS BETWEEN BANACH ALGEBRAS

  • Cho, Tae-Geun
    • Bulletin of the Korean Mathematical Society
    • /
    • v.20 no.2
    • /
    • 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

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

  • 이홍
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.17 no.1
    • /
    • 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.