On Continuous and Adjoint Morphisms between Noncommutative Prime Spectra
نویسندگان
چکیده
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 SpecR and SpecS; 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.
منابع مشابه
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