• Title/Summary/Keyword: domains

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MULTIPLICATION MODULES OVER PULLBACK RINGS (I)

  • ATANI, SHAHABADDIN EBRAHIMI;LEE, SANG CHEOL
    • Honam Mathematical Journal
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    • v.28 no.1
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    • pp.69-81
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    • 2006
  • First, we give a complete description of the multiplication modules over local Dedekind domains. Second, if R is the pullback ring of two local Dedekind domains over a common factor field then we give a complete description of separated multiplication modules over R.

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Estimates of invariant metrics on some pseudoconvex domains in $C^N$

  • Cho, Sang-Hyun
    • Journal of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.661-678
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    • 1995
  • In this paper we will estimate from above and below the values of the Bergman, Caratheodory and Kobayashi metrics for a vector X at z, where z is any point near a given point $z_0$ in the boundary of pseudoconvex domains in $C^n$.

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STABILITY OF ISOMETRIES ON RESTRICTED DOMAINS

  • Jung, Soon-Mo;Kim, Byung-Bae
    • Journal of the Korean Mathematical Society
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    • v.37 no.1
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    • pp.125-137
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    • 2000
  • In the present paper, the classical results of the stability of isometries obtained by some authors will be generalized; More precisely, the stability of isometries on restricted (unbounded or bounded) domains will be investigated.

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HOLOMORPHIC FUNCTIONS WITH POSITIVE REAL PART ON COMPLETE CIRCULAR DOMAINS

  • Hans, Kyong T.
    • Bulletin of the Korean Mathematical Society
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    • v.20 no.1
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    • pp.15-25
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    • 1983
  • The main purpose of the present paper is to generalize the results obtained by A. Hindmarsh in [7] to the holomorphic functions with non-negative real part defined on a complete circular domain D in certain class D in the complex euclidean space $C^{n}$. As described in .cint.2, D includes the bounded symmetric domains.s.

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