On unimodular complements
McCasland, R.L., Moore, Marion E. (1991)
Portugaliae mathematica
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McCasland, R.L., Moore, Marion E. (1991)
Portugaliae mathematica
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Fontana, Marco, Zafrullah, Muhammad (2009)
International Journal of Mathematics and Mathematical Sciences
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Stefan Bergman (1977)
Annales Polonici Mathematici
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Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Dobbs, David E. (1985-1986)
Portugaliae mathematica
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Malik, Saroj, Mott, Joe L., Zafrullah, Muhammad (1986)
International Journal of Mathematics and Mathematical Sciences
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Dobbs, David E. (1981)
International Journal of Mathematics and Mathematical Sciences
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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.
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.
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.
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.
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.
Moshe Jarden (1974/75)
Manuscripta mathematica
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McCarthy, John, Papadopoulos, Athanase (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Edgar Lee Stout (2009)
Annales Polonici Mathematici
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We construct some envelopes of holomorphy that are not equivalent to domains in ℂⁿ.
Mimouni, A. (2010)
International Journal of Mathematics and Mathematical Sciences
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Dobbs, David E., Fontana, Marco (1991)
International Journal of Mathematics and Mathematical Sciences
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