Now showing items 1-10 of 14
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 ...
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 ).
Graded equivalence theory with applications
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 ...
Actions of picard groups on graded rings
No abstract found.
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 ...
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 ...
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.
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) ...
(Division of Academic Affairs, 2008-10)