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On continuous and adjoint morphisms between non-commutative prime spectra

Letzter, ES
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Journal Article
Date
2006-06-01
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non-commutative ring
 ring extension
 prime ideal
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http://hdl.handle.net/20.500.12613/6108
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0403204v3.pdf
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DOI
10.1017/S0013091504000628
Abstract
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.
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Cambridge University Press (CUP)
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Proceedings of the Edinburgh Mathematical Society
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