4 papers
Wide Morita contexts, relative injectivity and equivalence results
N. Chifan, S. Dascalescu, C. Nastasescu
We extend Morita theory to abelian categories by using wide Morita contexts. Several equivalence results are given for wide Morita contexts between abelian categories, widely exten…
Hopf algebras of dimension 14
M. Beattie, S. Dăscălescu
Let H be a finite dimensional non-semisimple Hopf algebra over an algebraically closed field k of characteristic 0. If H has no nontrivial skew-primitive elements, we find some bou…
On gradings of matrix algebras and descent theory
S. Caenepeel, S. Dăscălescu, C. Năstăsescu
We classify gradings on matrix algebras by a finite abelian group. A grading is called good if all elementary matrices are homogeneous. For cyclic groups, all gradings on a matrix…
Co-Frobenius Hopf algebras and the coradical filtration
Nicolas Andruskiewitsch, Sorin Dascalescu
We prove that a Hopf algebra with a finite coradical filtration is co-Frobenius, i. e. there is a non-zero integral on it. As a consequence, we show that algebras of functions on q…