Title of article :
ON THE GROUP OF UNITS OF THE CONVOLUTION ALGEBRAS FOR POINTED COALGEBRAS. APPLICATIONS TO POINTED HOPF ALGEBRAS
Author/Authors :
Ruminski, Marcin N. Copernicus University - Faculty of Mathematics and Computer Sciences, Poland , Tyc, Andrzej N. Copernicus University - Faculty of Mathematics and Computer Sciences, Poland
Abstract :
Given a pointed coalgebra C and an algebra A (over a field), we study the group U(C, A) of units of the convolution algebra Hom(C, A). Of particular interest is its subgroup U1(C, A) consisting of f (element of)U(C, A) such that f(g) = 1 for any group-like element g in C.
Keywords :
unit , coalgebra , convolution algebra , Hopf algebra
Journal title :
The Arabian Journal for Science and Engineering
Journal title :
The Arabian Journal for Science and Engineering
