• 제목/요약/키워드: mathematical structures

검색결과 946건 처리시간 0.024초

SOME STRUCTURES ON A COMPLETE LATTICE

  • Lee, Seung On;Yon, Yong Ho
    • 충청수학회지
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    • 제20권3호
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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
    • 대한수학회지
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    • 제37권2호
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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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EQUIVALENCE PROBLEM AND COMPLETE SYSTEM OF FINITE ORDER

  • Han, Chong-Kyu
    • 대한수학회지
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    • 제37권2호
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    • pp.225-243
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    • 2000
  • We explain the notion of complete system and how it naturally arises from the equivalence problem of G-structures. Then we construct a complete system of 3rd order for the infinitesimal CR automorphisms of CR manifold of nondegenerate Levi form.

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ON MAXIMAL PRERADICAL RATIONAL EXTENSIONS

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • 제19권2호
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    • pp.251-259
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    • 2003
  • The concepts of t-rational extensions and t-essential extensions of modules, where t a preradical for R-Mod, are introduced. The structures of such extensions are determined. Relations between maximal t-rational extensions and other concepts of modules are studied.

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REDUCING SUBSPACES OF WEIGHTED SHIFTS WITH OPERATOR WEIGHTS

  • Gu, Caixing
    • 대한수학회보
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    • 제53권5호
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    • pp.1471-1481
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    • 2016
  • We characterize reducing subspaces of weighted shifts with operator weights as wandering invariant subspaces of the shifts with additional structures. We show how some earlier results on reducing subspaces of powers of weighted shifts with scalar weights on the unit disk and the polydisk can be fitted into our general framework.

INTEGRATION STRUCTURES FOR THE OPERATOR-VALUED FEYNMAN INTEGRAL

  • Jefferies, Brian
    • 대한수학회지
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    • 제38권2호
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    • pp.349-363
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    • 2001
  • The analytic in mass operator-valued Feynman integral is related to integration with respect to unbounded set functions formed from the semigroup obtained by analytic continuation of the heat semigroup and the spectral measure of multiplication by characteristics functions.

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