Now showing items 1-10 of 14
(Division of Academic Affairs, 2008-10)
The Globalization problem for inner automorphisms and Skolem-Noether theorems
(World Science, 2003-07)
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 ...
Mind over matter: Transforming course management systems into effective learning environments
Integrating best practices for "deeper learning" with the robust tools provided by course management systems creates an incredibly effective, engaging, and student-centered learning environment.
Automorphisms of tiled orders
Let Λ be a tiled R-order. We give a description of AutR(Λ) as the semidirect product of Inn(Λ) and a certain subgroup of Aut(Q(Λ)), where Q(Λ) is the link graph of Λ. Additionally, we give criteria for determining when ...
Strongly graded hereditary orders
Let R be a Dedekind domain with global quotient field K. The purpose of this note is to provide a characterization of when a strongly graded R-order with semiprime 1-component is hereditary. This generalizes earlier work ...
Hereditary crossed products
(American Mathmatical Society, 2000-03-27)
We characterize when a crossed product order over a maximal order in a central simple algebra by a finite group is hereditary. We need only concentrate on the cases when the group acts as inner automorphisms and when ...
Approximating rings with local units via automorphisms
(Springer Verlag, 1999-02)
For a ring A with local units we investigate unital overrings T of A, and compare the automorphism groups Aut(A) and Aut(T ).
The Isomorphism problem for incidence rings
(University of California, 1999)
Let P and P’ be finite preordered sets, and let R be a ring for which the number of nonzero summands in a direct decomposition of the regular module RR is bounded. We show that if the incidence rings I(P;R) and I(P’;R) ...
Actions of picard groups on graded rings
No abstract found.