On Continuous and Adjoint Morphisms Between Noncommutative Prime Spectra
Edward S. Letzter
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.
Create a lesson
Related papers
On Jordan nilpotency of index n in group rings
Osnel B. Cristo, Mariana G. Cornelissen, Rodrigo L. Rodrigues
High-Degree Restricted Cohomology for K(3;1)(1) in Characteristics Five and Seven
Chao Ma
Identities of Representation of Lie subalgebras of the first Weyl algebra
Vyacheslav Futorny, Plamen Koshlukov, João Fernando Schwarz
Homology and Topology of Partially Ordered Fields
Hanzhen Bao
Hopf algebra polynomial identities in the Sweedler algebra
Alexey Gordienko, Maria Morozova
Resolvent comparison for Hermitian block matrices and Kelmans transformations
Xianhao Meng, Zhijun Xu, Zhiyuan Zhang