The Globalization problem for inner automorphisms and Skolem-Noether theorems

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Title: The Globalization problem for inner automorphisms and Skolem-Noether theorems
Author: Haefner, Jeremy; Del Rio, Angel
Abstract: We investigate the circumstances under which an inner automorphism of a ring with local units can be built from “local” information. Specifically, we consider three natural “inner” type properties for an automorphism of a ring with local units. We show that every inner automorphism is locally inner but the converse is false, even if the automorphism is “piecewise” inner. On the other hand, we construct a large class of rings for which every locally inner automorphism is actually inner. Finally we obtain some Skolem-Noether type Theorems for infinite matrix and triangular matrix rings.
Description: The original publication is available at eproceedings.worldscinet.comRIT community members may access full-text via RIT Libraries licensed databases: http://library.rit.edu/databases/
Record URI: http://hdl.handle.net/1850/9706
Date: 2003-07

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