On continuous and adjoint morphisms between non-commutative prime spectra
Permanent link to this recordhttp://hdl.handle.net/20.500.12613/6108
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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.
Citation to related workCambridge University Press (CUP)
Has partProceedings of the Edinburgh Mathematical Society
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