Under suitable conditions the skewfield of fractions of a superalgebra which is a noetherian domain is canonically provided with a structure of superalgebra. This gives rise to a notion of rational equivalence in the category of superalgebras. We study from the point of view of this rational equivalence some low dimensional examples of quantum enveloping algebras of Lie superalgebras.
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Univ Paul Verlaine Metz, CNRS, UMR 7122, Lab Math & Applicat Metz, F-57045 Metz 1, FranceUniv Paul Verlaine Metz, CNRS, UMR 7122, Lab Math & Applicat Metz, F-57045 Metz 1, France
Ayadi, Imen
Benamor, Hedi
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Univ Paul Verlaine Metz, CNRS, UMR 7122, Lab Math & Applicat Metz, F-57045 Metz 1, FranceUniv Paul Verlaine Metz, CNRS, UMR 7122, Lab Math & Applicat Metz, F-57045 Metz 1, France
Benamor, Hedi
Benayadi, Said
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Univ Paul Verlaine Metz, CNRS, UMR 7122, Lab Math & Applicat Metz, F-57045 Metz 1, FranceUniv Paul Verlaine Metz, CNRS, UMR 7122, Lab Math & Applicat Metz, F-57045 Metz 1, France