One reason for the universal interest in Frobenius algebras is that their characterisation can
be formulated in arbitrary categories: a functor K: A→ B between categories is Frobenius if …

Müller generalized in [12] the notion of a Frobenius extension to left (right) quasi-Frobenius
extension and proved the endomorphism ring theorem for these extensions. Recently, Guo …

Given a complete, cocomplete category 𝒞, we investigate the problem of describing those
small categories I such that the diagonal functor Δ: 𝒞→ Functors (I, 𝒞) is a Frobenius functor …

This is a note on Abrams' paper" Modules, Comodules, and Cotensor Products over
Frobenius Algebras, Journal of Algebras"(1999). With the application of Frobenius …

We investigate functors between abelian categories having usomor-phic left and right
adjoint functors (these functors are called Frobenius Functors). They are characterized for …

We show that the universal measuring coalgebras between Frobenius algebras turn the
category of Frobenius algebras into a Hopf category (in the sense of\cite {BCV}), and the …

We investigate left and right co-Frobenius coalgebras and give equivalent characterizations
which prove statements dual to the characterizations of Frobenius algebras. We prove that a …

Firm Frobenius algebras are firm algebras and counital coalgebras such that the
comultiplication is a bimodule map. They are investigated by categorical methods based on …

The notion of Frobenius algebra originally arose in ring theory, but it is a fairly easy
observation that this notion can be extended to arbitrary monoidal categories. But, is this …

Classically a Frobenius algebra A over a field k is an algebra such that in the category of left
A-modules or the category of right A-modules. an object is projective if and only if it is …