On the cohomology of Frobenius algebras (Q1196810)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the cohomology of Frobenius algebras |
scientific article; zbMATH DE number 89574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the cohomology of Frobenius algebras |
scientific article; zbMATH DE number 89574 |
Statements
On the cohomology of Frobenius algebras (English)
0 references
16 January 1993
0 references
Let \(\Lambda\) be a finitely generated free Frobenius algebra over a commutative ring \(R\). The author investigates the complete cohomology groups \(H^ \tau (\Lambda, -)\) [\textit{T. Nakayama}, Osaka Math. J. 9, 165-187 (1957; Zbl 0101.02601)], in particular their periodicity with respect to \(r\). Then, applications to the cohomology of the rings of integers in quadratic fields over the rationals \(\mathbb{Q}\) are presented.
0 references
cohomology rings
0 references
finitely generated free Frobenius algebra
0 references
complete cohomology groups
0 references
periodicity
0 references
quadratic fields
0 references
