Monoidal Hom-Hopf algebras
Rings and Algebras
2013-08-15 v3 Category Theory
Abstract
Hom-structures (Lie algebras, algebras, coalgebras, Hopf algebras) have been investigated in the literature recently. We study Hom-structures from the point of view of monoidal categories; in particular, we introduce a symmetric monoidal category such that Hom-algebras coincide with algebras in this monoidal category, and similar properties for coalgebras, Hopf algebras and Lie algebras.
Cite
@article{arxiv.0907.0187,
title = {Monoidal Hom-Hopf algebras},
author = {S. Caenepeel and I. Goyvaerts},
journal= {arXiv preprint arXiv:0907.0187},
year = {2013}
}
Comments
25 pages; extended version: compared to the version that appeared in Comm. Algebra, the Section Preliminary Results and Remarks 5.1 and 6.1 have been added