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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
(EDUCAUSE, 2002-12)
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.
Strongly graded hereditary orders
(2001-08-28)
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 ...
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) ...
Isomorphisms of row and column finite matrix rings
(American Mathmatical Society, 1997-06)
This paper investigates the ring-theoretic similarities and the cate-
gorical dissimilarities between the ring RFM(R) of row finite matrices and the
ring RCFM(R) of row and column finite matrices. For example, we prove ...
On when a graded ring is graded equivalent to a crossed product
(American Mathmatical Society, 1996-04)
Let R be a ring graded by a group G. We are concerned with
describing those G-graded rings that are graded equivalent to G-crossed products.
We give necessary and sufficient conditions for when a strongly graded
ring ...
Local orders whose lattices are direct sums of ideals
(American Mathematical Society, 1990-10)
Let R be a complete local Dedekind domain with quotient field K and let A be a local R-order in a separable K-algebra. This paper classifies those orders A such that every indecomposable R-torsionfree A-module is isomorphic ...