On continuous and adjoint morphisms between non-commutative prime spectra
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Journal ArticleDate
2006-06-01Author
Letzter, ESPermanent link to this record
http://hdl.handle.net/20.500.12613/6108
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10.1017/S0013091504000628Abstract
We 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.Citation to related work
Cambridge University Press (CUP)Has part
Proceedings of the Edinburgh Mathematical SocietyADA compliance
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http://dx.doi.org/10.34944/dspace/6090