Présidents de session
Algèbre non commutative
- Andre Leroy
Walter Ferrer-Santos
(Universidad de la Republica, Montevideo)
25/06/2014 09:00
Algèbre non commutative
An involutory Hopf algebra is a Hopf algebra whose antipode squared equals the identity, $S^2=\operatorname{id}$.
The identity map is an automorphism of Hopf algebras, hence it is tempting to substitute $\operatorname{id} \mapsto \sigma$ where $\sigma$ is an arbitray Hopf morphism and consider Hopf algebras whose antipode (that is an antimorphism of Hopf algebras) squared is the square of...
Alberto Facchini
(University of Padova)
25/06/2014 10:30
Algèbre non commutative
We will describe direct-sum decompositions and direct-product decompositions for some classes of modules. We will be mainly interested in direct sums and direct products of modules whose endomorphism rings have at most two maximal ideals.
Patrick Solé
(Telecom ParisTech)
25/06/2014 11:45
Algèbre non commutative
In this article we introduce skew generalized quasi-cyclic codes over finite field $F$ with Galois automorphism $\theta$. This is a generalization of quasi-cyclic codes and skew polynomial codes.
These codes have an added advantage over quasi-cyclic codes, since the length of the code $C$ need not be a multiple of the index of $C$. After a brief description of the skew polynomial ring...
