A construction of dualizing categories by tensor products of categories
Representation Theory
2016-10-06 v1 Rings and Algebras
Abstract
It is shown that the idempotent completion of the additive hull of the tensor product of the residue category of the category of paths of a locally finite quiver modulo an admissible ideal and a dualizing category is dualizing. Furthermore, the category of finitely presented functors over such tensor product category is dualizing and has almost split sequences. As applications, the categories of all kinds of complexes are proved to have almost split sequences.
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Cite
@article{arxiv.1610.01320,
title = {A construction of dualizing categories by tensor products of categories},
author = {Yang Han and Ningmei Zhang},
journal= {arXiv preprint arXiv:1610.01320},
year = {2016}
}
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26 pages