Quaestiones Mathematicae

Log in or Register to get access to full text downloads.

Remember me or Register

DOWNLOAD FULL TEXT Open Access  DOWNLOAD FULL TEXT Subscription or Fee Access

Some remarks about monoidal Hom-algebras

J.N. Alonso Álvarez, J.M. Fernández Vilaboa, R. González Rodríguez


In this paper, for C a strict braided monoidal category with tensor product  , we improve the denition of Hom-associative algebra by removing the multiplicativity condition of the automorphism . After that we state the close connection between the classical notions of (co)algebra, (co)module and Hopf algebra and the corresponding ones in the Hom-world. As a consequence we can study the questions about the Hom-world by passing to the classical one, and the main contribution of this paper is to illustrate the suitable procedure to move from one side to the other. Finally, we apply our techniques to get in the Hom setting some classical results about cleft and Galois extensions.

Key words: Monoidal category, Hom-(co)algebra, Hom-Hopf algebra.
AJOL African Journals Online