4 papers
A linear algebra approach to graded Frobenius algebras
Sorin Dascalescu, Constantin Nastasescu, Laura Nastasescu +1
If is a finite-dimensional algebra graded by a group , and , we define a variant of paratrophic matrix associated with and , and we use it to characterize the…
Graded Frobenius algebras from tensor algebras of bimodules
Sorin Dascalescu, Constantin Nastasescu, Laura Nastasescu
We consider certain quotient algebras of tensor algebras of bimodules over a finite-dimensional algebra , and we investigate Frobenius type properties of such algebras. Our…
Graded Frobenius Rings
Sorin Dascalescu, Constantin Nastasescu, Laura Nastasescu
In order to study graded Frobenius algebras from a ring theoretical perspective, we introduce graded quasi-Frobenius rings, graded Frobenius rings and a shift-version of the latter…
Symmetric algebras of corepresentations and smash products
Sorin Dascalescu, Constantin Nastasescu, Laura Nastasescu
We investigate Frobenius algebras and symmetric algebras in the monoidal category of right comodules over a Hopf algebra ; for the symmetric property is assumed to be cosove…