On Continuous and Adjoint Morphisms Between Noncommutative Prime Spectra

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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.
13 pages; AMS-TeX. Minor revisions; reference added. To appear in Proceedings of the Edinburgh Mathematical Society

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Rings and Algebras, 16D25; 16S20

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http://salesiana.dossiersoluciones.com/handle/123456789/70433

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403204
 http://arxiv.org/abs/math/0403204

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arXiv