Noetherianity of the Space of Irreducible Representations

Details Noetherianity of the Space of Irreducible Representations Noetherianity of the Space of Irreducible Representations

2001-06-05

arxiv.org/abs/math/0106034v2

Mathematics

Rings and Algebras

Revised; 9 pages; AMS-TeX. To appear in Israel Journal of Mathematics

Scientific paper

Let R be an associative ring with identity. We study an elementary generalization of the classical Zariski topology, applied to the set of isomorphism classes of simple left R-modules (or, more generally, simple objects in a complete abelian category). Under this topology the points are closed, and when R is left noetherian the corresponding topological space is noetherian. If R is commutative (or PI, or FBN) the topology is equivalent to the Zariski topology, and when R is the first Weyl algebra (in characteristic zero) we obtain a one-dimensional irreducible noetherian topological space. Comparisons with topologies induced from those on A. L. Rosenberg's spectra are briefly noted.

Affiliated with

Also associated with

No associations

Rating

Noetherianity of the Space of Irreducible Representations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Noetherianity of the Space of Irreducible Representations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noetherianity of the Space of Irreducible Representations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-595573