Tensor products of higher almost split sequences
2017 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 221, no 3, 645-665 p.Article in journal (Refereed) Published
We investigate how the higher almost split sequences over a tensor product of algebras are related to those over each factor. Herschend and Iyama give in  a criterion for when the tensor product of an n-representation finite algebra and an m-representation finite algebra is (n + m)-representation finite. In this case we give a complete description of the higher almost split sequences over the tensor product by expressing every higher almost split sequence as the mapping cone of a suitable chain map and using a natural notion of tensor product for chain maps.
Place, publisher, year, edition, pages
2017. Vol. 221, no 3, 645-665 p.
IdentifiersURN: urn:nbn:se:uu:diva-309779DOI: 10.1016/j.jpaa.2016.07.010ISI: 000387191700006OAI: oai:DiVA.org:uu-309779DiVA: diva2:1056720