The injective spectrum of a noncommutative space
Quantum Algebra
2007-05-23 v1 Rings and Algebras
Abstract
For a noncommutative space X, we study Inj(X), the set of isomorphism classes of indecomposable injective X-modules. In particular, we look at how this set, suitably topologized, can be viewed as an underlying "spectrum" for X. As applications we discuss noncommutative notions of irreducibility and integrality, and a way of associating an integral subspace of X to each element of Inj(X) which behaves like a "weak point."
Cite
@article{arxiv.math/0108175,
title = {The injective spectrum of a noncommutative space},
author = {Christopher J. Pappacena},
journal= {arXiv preprint arXiv:math/0108175},
year = {2007}
}
Comments
35 pages