uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
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: 2016-12-15Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Pasquali, Andrea
By organisation
Algebra and Geometry
In the same journal
Journal of Pure and Applied Algebra
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 89 hits
ReferencesLink to record
Permanent link

Direct link