Tensor products of tilting modules

Abstract

We consider whether the tilting properties of a tilting A-module T and a tilting B-module T ^' can convey to their tensor product T ⊗T ^'. The main result is that T ⊗ T ^' turns out to be an (n+ m)-tilting A ⊗ B-module, where T is an m-tilting A-module and T ^' is an n-tilting B-module.

Keywords

Tensor product / tilting module / n-tilting module / endomorphism algebra

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Higher Education Press and Springer-Verlag Berlin Heidelberg