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

Author： Rump W.  

Publisher： Springer Publishing Company

ISSN： 1072-3374

Source： Journal of Mathematical Sciences, Vol.144, Iss.2, 2007-07, pp. : 3993-4003

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Abstract

Let R be a Dedekind domain with quotient field K and let Λ 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 ∆ in a skew-field such that the category Λ-Lat of R-projective Λ-modules admits a full module category ∆-Mod as a subfactor.

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