Isomorphisms between strongly triangular matrix rings
Rings and Algebras
2012-10-18 v1
Abstract
We describe isomorphisms between strongly triangular matrix rings that were defined earlier in Berkenmeier et al. (2000) as ones having a complete set of triangulating idempotents, and we show that the so-called triangulating idempotents behave analogously to idempotents in semiperfect rings. This study yields also a way to compute theoretically the automorphism groups of such rings in terms of corresponding automorphism groups of certain subrings and bimodules involved in their structure.
Cite
@article{arxiv.1210.4675,
title = {Isomorphisms between strongly triangular matrix rings},
author = {P. N. Anh and L. van Wyk},
journal= {arXiv preprint arXiv:1210.4675},
year = {2012}
}