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Tensor products of higher almost split sequences
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
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
Abstract [en]

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 [6] 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.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-309779DOI: 10.1016/j.jpaa.2016.07.010ISI: 000387191700006OAI: oai:DiVA.org:uu-309779DiVA: diva2:1056720
Available from: 2016-12-15 Created: 2016-12-07 Last updated: 2017-03-24Bibliographically approved
In thesis
1. Tensor products and higher Auslander-Reiten theory
Open this publication in new window or tab >>Tensor products and higher Auslander-Reiten theory
2017 (English)Licentiate thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Uppsala: Uppsala universitet, 2017. 41 p.
National Category
Algebra and Logic
Identifiers
urn:nbn:se:uu:diva-317859 (URN)
Opponent
Supervisors
Available from: 2017-03-27 Created: 2017-03-20 Last updated: 2017-03-27Bibliographically approved

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