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On Continuous and Adjoint Morphisms Between Noncommutative Prime Spectra

Edward S. Letzter
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Abstract

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 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.

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Edward S. Letzter. 2005-05-25. On Continuous and Adjoint Morphisms Between Noncommutative Prime Spectra. https://arxiv.org/abs/math/0403204

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