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arXiv · 1210.4675

Isomorphisms between strongly triangular matrix rings

P. N. Anh·L. van Wyk
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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.

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P. N. Anh, L. van Wyk. 2012-10-17. Isomorphisms between strongly triangular matrix rings. https://arxiv.org/abs/1210.4675

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