On continuous and adjoint morphisms between non-commutative prime spectra

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dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.creatorLetzter, ES
dc.date.accessioned2021-02-07T19:05:18Z
dc.date.available2021-02-07T19:05:18Z
dc.date.issued2006-06-01
dc.date.updated2021-02-07T19:05:15Z
dc.description.abstractWe study topological properties of the correspondence of prime spectra associated with a non-commutative 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.format.extent367-381
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/6090
dc.identifier.issn0013-0915
dc.identifier.issn1464-3839
dc.identifier.other059TT (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/6108
dc.language.isoen
dc.relation.doi10.1017/S0013091504000628
dc.relation.haspartProceedings of the Edinburgh Mathematical Society
dc.relation.isreferencedbyCambridge University Press (CUP)
dc.subjectnon-commutative ring
dc.subjectring extension
dc.subjectprime ideal
dc.titleOn continuous and adjoint morphisms between non-commutative prime spectra
dc.typeArticle
dc.type.genreJournal Article
refterms.dateFOA2021-02-07T19:05:18Z
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