On unimodular complements

McCasland, R.L.; Moore, Marion E.

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Displaying similar documents to “On unimodular complements”

On distinguished representative domains

Stefan Bergman (1977)

Annales Polonici Mathematici

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Exhaustions of John domains.

Väisälä, Jussi (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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A “ $v$ -operation free” approach to Prüfer $v$ -multiplication domains.

Fontana, Marco, Zafrullah, Muhammad (2009)

International Journal of Mathematics and Mathematical Sciences

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Ideal class (semi)groups and atomicity in Prüfer domains

Richard Erwin Hasenauer (2021)

Czechoslovak Mathematical Journal

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We explore the connection between atomicity in Prüfer domains and their corresponding class groups. We observe that a class group of infinite order is necessary for non-Noetherian almost Dedekind and Prüfer domains of finite character to be atomic. We construct a non-Noetherian almost Dedekind domain and exhibit a generating set for the ideal class semigroup.

Bounce trajectories in plane tubular 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.

Fundamental domains in Teichmüller space.

McCarthy, John, Papadopoulos, Athanase (1996)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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The symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains

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.

Bounce trajectories in plane tubular 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.

A note on Costara's paper

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.

On locally divided integral domains and CPI-overrings.

Dobbs, David E. (1981)

International Journal of Mathematics and Mathematical Sciences

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Fragmented integral domains

Dobbs, David E. (1985-1986)

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Biholomorphic invariants related to the Bergman functions

Maciej Skwarczyński

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CONTENTSPRELIMINARY REMARKS........................................................................................ 5 Introduction..................................................................................................... 5 Basic definitions, examples and facts............................................................... 8I. LU QI-KENQ DOMAINS........................................................................................... 13 Some properties of Lu Qi-keng domains.....................................................

Conductive Integral Domains as Pullbacks.

V. Barucci, D.E. Dobbs, M. Fontana (1986)

Manuscripta mathematica

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Elasticity of A + XB[X] when A ⊂ B is a minimal extension of integral 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.

On Ideal Theory in High Prufer Domains.

Moshe Jarden (1974/75)

Manuscripta mathematica

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Generalized domains of semistable attraction of nonnormal laws.

Meerschaert, M.M., Scheffler, H.-P. (1996)

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Effective formulas for invariant functions - case of elementary Reinhardt domains

Peter Pflug, Włodzimierz Zwonek (1998)

Annales Polonici Mathematici

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We find effective formulas for the invariant functions, appearing in the theory of several complex variables, of the elementary Reinhardt domains. This gives us the first example of a large family of domains for which the functions are calculated explicitly.