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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-2-8,
author = {Yuanyuan Chen and Xiaoyan Zhou},
title = {Separable and Frobenius monoidal Hom-algebras},
journal = {Colloquium Mathematicae},
volume = {135},
year = {2014},
pages = {229-251},
zbl = {1336.16032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-2-8}
}
Yuanyuan Chen; Xiaoyan Zhou. Separable and Frobenius monoidal Hom-algebras. Colloquium Mathematicae, Tome 135 (2014) pp. 229-251. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-2-8/