A new dimension for schematic algebras
Faculty of Sciences. Mathematics and Computer Science
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
, p. 325-332
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.