FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 3, PAGES 173-187

Infinite rank representations of orders in nonsemisimple algebras, and module categories

W. Rump

Abstract

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Let $R$ be a Dedekind domain with quotient field $K$ and let $$L be an $R$-order in a finite-dimensional $K$-algebra $A$ such that $A/Rad\; A$ is separable. We show that if $A$ is not semisimple, then there exists a maximal $R$-order $$D in a skew-field such that the category $\Lambda -$Lat of $R$-projective $$L-modules admits a full module category $\Delta -$Mod as a subfactor.

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Last modified: September 14, 2005