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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
(Elsevier, 1999)
No abstract found.
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 ...
Graded equivalence theory with applications
(Elsevier, 1995-03-01)
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 ...
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 ...