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
Dagger compact category
Tannakian category
References
Theorem 2.6 in Happel, Dieter (1988). Triangulated Categories in the Representation Theory of Finite Dimensional Algebras. Cambridge University Press. ISBN 9780511629228.
Frobenius category at the nLab
Section 13.4 of Bühler, Theo (2010). "Exact Categories". Expositiones Mathematicae. 28 (1): 1–69. arXiv:0811.1480. CiteSeerX 10.1.1.758.2107. doi:10.1016/j.exmath.2009.04.00.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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