Frobenius category

In category theory, a branch of mathematics, a Frobenius category is an exact category with enough projectives and enough injectives, where the classes of projectives and injectives coincide. It is an analog of a Frobenius algebra.

Properties

The stable category of a Frobenius category is canonically a triangulated category.[1]

See also

References
  1. Theorem 2.6 in Happel, Dieter (1988). Triangulated Categories in the Representation Theory of Finite Dimensional Algebras. Cambridge University Press. ISBN 9780511629228.
  • Frobenius category in nLab
  • Section 13.4 of Bühler, Theo (2010). "Exact Categories". Expositiones Mathematicae. 28 (1): 1–69.


This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.