Embedding co-continuous posets in function spaces of domains.
K. Kale (1994)
Semigroup forum
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K. Kale (1994)
Semigroup forum
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Stefan Bergman (1977)
Annales Polonici Mathematici
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Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Leonhard Frerick, Gerald Schmieder (2005)
Annales Polonici Mathematici
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We prove that the Carathéodory discs for doubly connected domains in the complex plane are connected.
Ahmed Ayache, Hanen Monceur (2011)
Colloquium Mathematicae
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We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.
K.D. jr. Magill (1986-1987)
Semigroup forum
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McCarthy, John, Papadopoulos, Athanase (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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H.J. Shyr, S.S. Yu (1990)
Semigroup forum
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Nikolai Nikolov (2006)
Annales Polonici Mathematici
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We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains.
Armen Edigarian (2004)
Annales Polonici Mathematici
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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
D. D. Anderson, D. F. Anderson, D. L. Costa, D. E. Dobbs, J. L. Mott, M. Zafrullah (1989)
Colloquium Mathematicae
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Joachim Gräter (1989)
Monatshefte für Mathematik
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K.D. jr. Magill, B.B. Baird (1979)
Semigroup forum
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Meerschaert, M.M., Scheffler, H.-P. (1996)
Journal of Applied Analysis
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