3 papers
math.RA2025
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 t…
math.RA2025
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…
math.RA2024
Picard groups of quasi-Frobenius algebras and a question on Frobenius strongly graded algebras
Sorin Dascalescu, Constantin Nastasescu, Laura Nastasescu
Our initial aim was to answer the question: does the Frobenius (symmetric) property transfers from a strongly graded algebra to its homogeneous component of trivial degree? Related…