On Relative Homological Algebra of Frobenius Extensions
- 1 August 1959
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 15, 17-28
- https://doi.org/10.1017/s0027763000006656
Abstract
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).Keywords
This publication has 3 references indexed in Scilit:
- Relative homological algebraTransactions of the American Mathematical Society, 1956
- On the Dimension of Modules and Algebras, II: (Frobenius Algebras and Quasi-Frobenius Rings)Nagoya Mathematical Journal, 1955
- Grundlagen einer Theorie der FrobeniuserweiterungenMathematische Annalen, 1954