On Continuous and Adjoint Morphisms Between Noncommutative Prime Spectra
Rings and Algebras
2007-05-23 v3
Abstract
We study topological properties of the correspondence of prime spectra associated to a noncommutative ring homomorphism R -> S. Our main result provides criteria for the adjointness of certain functors between the categories of Zariski closed subsets of Spec(R) and Spec(S); these functors arise naturally from restriction and extension of scalars. When R and S are left noetherian, adjointness occurs only for centralizing and ``nearly centralizing'' homomorphisms.
Cite
@article{arxiv.math/0403204,
title = {On Continuous and Adjoint Morphisms Between Noncommutative Prime Spectra},
author = {Edward S. Letzter},
journal= {arXiv preprint arXiv:math/0403204},
year = {2007}
}
Comments
13 pages; AMS-TeX. Minor revisions; reference added. To appear in Proceedings of the Edinburgh Mathematical Society