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 ...
Haefner, Jeremy; Del Rio, Angel(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 ...
We develop the foundations for graded equivalence theory and apply them to
investigate properties such as primeness, finite representation type, and vertex
theory of graded rings. The key fact that we prove is that, for ...
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 ...
Abrams, Gene; Haefner, Jeremy; Del Rio, Angel(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) ...
Haefner, Jeremy; Del Rio, A.; Simon, J.(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 ...
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 ...
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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 ...
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 ...