Separable and Frobenius monoidal Hom-algebras
Tom 137 / 2014
Colloquium Mathematicum 137 (2014), 229-251 MSC: 16T05, 18D10, 18C15, 18C20. DOI: 10.4064/cm137-2-8
As generalizations of separable and Frobenius algebras, separable and Frobenius monoidal Hom-algebras are introduced. They are all related to the Hom-Frobenius-separability equation (HFS-equation). We characterize these two Hom-algebraic structures by the same central element and different normalizing conditions, and the structure of these two types of monoidal Hom-algebras is studied. The Nakayama automorphisms of Frobenius monoidal Hom-algebras are considered.