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Title
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A new dimension for schematic algebras
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Author
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Abstract
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| Schematic algebras are graded algebras with a finite number of two-sided homogeneous Ore-sets satisfying a precise condition. In this note we study the least possible number of Ore-sets which satisfy this condition and call it the schematic dimension. If R is commutative, then the schematic dimension of R equals the dimension of its associated projective variety. We also calculate the schematic dimension of homogenized enveloping algebras and Weyl algebras, and observe that they behave differently. |
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Language
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English
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Source (journal)
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Lecture notes in pure and applied mathematics. - New York
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Source (book)
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4th Week on Algebra and Algebraic Geometry Meeting (SAGA 4), SEP 12-13, 1996, UNIV ANTWERP, ANTWERP, BELGIUM
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Publication
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New York
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1998
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ISBN
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0-8247-0153-4
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Volume/pages
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197
(1998)
, p. 325-332
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ISI
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000072153200023
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