Marcelo Muniz Silva Alves

ENVELOPING ACTIONS FOR PARTIAL HOPF ACTIONS

Motivated by partial group actions on unital algebras, in this article we extend many results obtained by Exel and Dokuchaev to the context of partial actions of Hopf algebras, according to Caenepeel and Jansen. First, we generalize the theorem about the existence of an enveloping action, also known as the globalization theorem. Second, we construct a Morita context between the partial smash product and the smash product related to the enveloping action. Third, we dualize the globalization theorem to partial coactions and finally, we define partial representations of Hopf algebras and show some results relating partial actions and partial representations.

Error-block codes and poset metrics

Let

Classification of Niederreiter–Rosenbloom–Tsfasman Block Codes

P = (

TWISTED PARTIAL ACTIONS OF HOPF ALGEBRAS

{

The Symmetry Group of Znq in the Lee Space and the Zqn-Linear Codes

1, 2,\ldots,n

GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS

}

A standard form for generator matrices with respect to the Niederreiter-Rosenbloom-Tsfasman metric

,

Cohomology of partial smash products

≤

Relating propelinear and binary G -linear codes

)

On the equivalence between propelinear and binary G-linear codes

be a poset, let