On Continuous and Adjoint Morphisms Between Noncommutative Prime Spectra

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dc.creatorLetzter, Edward S.
dc.date2004-03-12
dc.date2005-05-25
dc.date.accessioned2026-07-07T05:06:20Z
dc.date.available2026-07-07T05:06:20Z
dc.descriptionWe 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.
dc.description13 pages; AMS-TeX. Minor revisions; reference added. To appear in Proceedings of the Edinburgh Mathematical Society
dc.identifierhttps://arxiv.org/abs/math/0403204
dc.identifierhttp://arxiv.org/abs/math/0403204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70433
dc.subjectRings and Algebras
dc.subject16D25; 16S20
dc.titleOn Continuous and Adjoint Morphisms Between Noncommutative Prime Spectra
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