“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 15576
School of Mathematics
  Title:   Duality and Serre functor in homotopy categories
1.  Javad Asadollahi
2.  Rasool Hafezi (Joint with N. Asadollahi and R. Vahed)
  Status:   Published
  Journal: Comm. Algebra
  Year:  2018
  Pages:   DOI: 10.1080/00927872.2018.1444167
  Supported by:  IPM
Full Article Figures data References Citations Metrics Reprints Permissions Get access ABSTRACT For a (right and left) coherent ring A, we show that there exists a duality between homotopy categories �??b(mod-Aop) and �??b(mod-A). If A = �? is an artin algebra of finite global dimension, this duality induces a duality between their subcategories of acyclic complexes, �??acb(mod-�?op) and �??acb(mod-�?). As a result, it will be shown that, in this case, �??acb(mod-�?) admits a Serre functor and hence has Auslander�??Reiten triangles.

Download TeX format
back to top
scroll left or right