On Frobenius algebras

✍ Scribed by Takayoshi Wakamatsu

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 232 KB
• Volume: 268
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(03)00263-1

✦ Synopsis

All Frobenius algebras Γ with separable factor algebra Γ / rad Γ are constructed as factors of tensor algebras. Further, fixing a separable algebra A, a bimodule A V A and a natural number n, the set A n (A, V ) of all representatives of isomorphism classes of Frobenius algebras Γ with the properties (1) Γ / rad Γ ∼ = A, (2) A (rad Γ / rad 2 Γ ) A ∼ = V , and (3) rad n Γ = 0 is investigated.