On Relative Homological Algebra of Frobenius Extensions

Kazuhiko Hirata
1959 Nagoya mathematical journal  
In this paper we study two features of relative homological algebra of Frobenius extensions, the one is the relative dimension and the other is the relative complete resolution. The theory of Frobenius extensions was developed by F. Kasch [4] as a generalization of Frobenius algebras. We deal with only Frobenius extensions of finite rank (see §2 for the definition).
doi:10.1017/s0027763000006656 fatcat:7c2vs7lbuvcelifksktdjeaz2i