Title
A new dimension for schematic algebras A new dimension for schematic algebras
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
conferenceObject
Publication
New York ,
Subject
Mathematics
Source (journal)
Lecture notes in pure and applied mathematics. - New York
Source (book)
4th Week on Algebra and Algebraic Geometry Meeting (SAGA 4), SEP 12-13, 1996, UNIV ANTWERP, ANTWERP, BELGIUM
Volume/pages
197(1998) , p. 325-332
ISSN
0075-8469
ISBN
0-8247-0153-4
ISI
000072153200023
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
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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