A new dimension for schematic algebrasA new dimension for schematic algebras
Faculty of Sciences. Mathematics and Computer Science

Department of Mathematics - Computer Sciences

conferenceObject

1998New York, 1998

Mathematics

Lecture notes in pure and applied mathematics. - New York

4th Week on Algebra and Algebraic Geometry Meeting (SAGA 4), SEP 12-13, 1996, UNIV ANTWERP, ANTWERP, BELGIUM

197(1998), p. 325-332

0075-8469

0-8247-0153-4

000072153200023

E

English (eng)

University of Antwerp

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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