• Title/Summary/Keyword: mathematical structures

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ON STRUCTURES OF CONTRACTIONS IN DUAL OPERATOR ALGEBRAS

  • Kim, Myung-Jae
    • Communications of the Korean Mathematical Society
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    • v.10 no.4
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    • pp.899-906
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    • 1995
  • We discuss certain structure theorems in the class A which is closely related to the study of the problems of solving systems concerning the predual of a dual operator algebra generated by a contraction on a separable infinite dimensional complex Hilbert space.

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ON MEASURABLE SPACES AND SEMI-TOPOGENOUS SPACES

  • In, Byung-Sik
    • Communications of the Korean Mathematical Society
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    • v.10 no.1
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    • pp.187-194
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    • 1995
  • We are to present some properties of binary relations by means of categorical method. The concept of semi-topogenous structures is due to Cs$\acute{a}$sz$\acute{a}$r. Using this, we give a new definition of a $\sigma$-topogenous structure as a particular type of semi-topogenous structure.

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CAUCHY DECOMPOSITION FORMULAS FOR SCHUR MODULES

  • Ko, Hyoung J.
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.1
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    • pp.41-55
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    • 1992
  • The characteristic free representation theory of the general linear group is one of the powerful tools in the study of invariant theory, algebraic geometry, and commutative algebra. Recently the study of such representations became a popular theme. In this paper we study the representation-theoretic structures of the symmetric algebra and the exterior algebra over a commutative ring with unity 1.

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NEIGHBORHOOD SPACES AND P-STACK CONVERGENCE SPACES

  • Park, Sang-Ho
    • East Asian mathematical journal
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    • v.21 no.1
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    • pp.27-39
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    • 2005
  • We will define p-stack convergence spaces and show that each neighborhood structure is uniquely determined by p-stack convergence structure. Also, we will show that p-stack convergence spaces are a generalization of neighborhood spaces.

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ON MINIMAL PRECONTINUOUS FUNCTIONS

  • Min, Won Keun;Kim, Young Key
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.4
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    • pp.667-673
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    • 2009
  • In this paper, we introduce the notions of minimal precontinuity, m-preclosed graph, almost m-precompact and m-precompact and investigate some properties for such notions.

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SOME STRUCTURES ON A COMPLETE LATTICE

  • Lee, Seung On;Yon, Yong Ho
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.3
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    • pp.211-221
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    • 2007
  • In this paper, we define ${\bigwedge}$-structure, ${\bigvee}$-structure to generalize some lattices, and study the conditions that a lattice which has ${\bigwedge}$-structure or ${\bigvee}$-structure to be continuous or algebraic.

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CR GEOMETRY/ANALYSIS AND DEFORMATION OF ISOLATED SINGULARITIES

  • Miyajima, Kimio
    • Journal of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.193-223
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    • 2000
  • In the late 1970's, M. Kuranishi proposed to control the moduli of the germ of a normal Stein space by deformations of the CR structure on the boundary. I this paper, we will see that it is naturally accomplished by considering stably embeddable deformations of CR structures.

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