Algebraically flat or projective algebras |
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Authors: | Gabriel Picavet |
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Institution: | Laboratoire de Mathématiques Pures, Université de Clermont II, 63177 Aubière Cedex, France |
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Abstract: | We define and study algebraically flat algebras in order to have a better understanding of algebraically projective algebras of finite type (the projective algebras of literature). A close examination of the differential properties of these algebras leads to our main structure theorem. As a corollary, we get that an algebraically projective algebra of finite type over a field is either a polynomial ring or the affine algebra of a complete intersection. |
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Keywords: | 13N05 13B02 13B40 |
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