24 citations · 35 across the 16 of their papers we have counts for
21 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…
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…
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…
Structural matrix algebras, generalized flags and gradings
Filoteia Besleaga, Sorin Dascalescu
We show that a structural matrix algebra is isomorphic to the endomorphism algebra of an algebraic-combinatorial object called a generalized flag. If the flag is equipped with…
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…