Easier Waring problems for commutative rings
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Ted Chinburg (1979)
Acta Arithmetica
A. Fabianom, G. Pucci, A. Yger (1996)
Acta Arithmetica
Heinz Lüneburg (1984)
Mathematische Zeitschrift
P.L.N. Varma (1990)
Mathematische Zeitschrift
B. Buchberger (1970)
Aequationes mathematicae
B. Buchberger (1970)
Aequationes mathematicae
Gerd Gotzmann (1978)
Mathematische Zeitschrift
Hartmut Lindl (1977)
Mathematische Annalen
Ahmed Ayache, Hanen Monceur (2011)
Colloquium Mathematicae
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.
Giuseppe Valla (1970)
Rendiconti del Seminario Matematico della Università di Padova
Daniel Lazard (1977)
Mémoires de la Société Mathématique de France
Pierre Cartier (1964/1966)
Séminaire Bourbaki
Hartmut Lindel (1980)
Mathematische Annalen
David Eisenbud, E. Graham Jr. Evans (1973)
Inventiones mathematicae
David Eisenbud, Barry Mazur (1997)
Journal für die reine und angewandte Mathematik
Erich Lamprecht (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
Pablo Galindo, Domingo Garciá, Manuel Maestre, Jorge Mujica (1994)
Studia Mathematica
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