Separable and Frobenius monoidal Hom-algebras

Yuanyuan Chen, and Xiaoyan Zhou. "Separable and Frobenius monoidal Hom-algebras." Colloquium Mathematicae 137.2 (2014): 229-251. <http://eudml.org/doc/283761>.

@article{YuanyuanChen2014,
abstract = {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.},
author = {Yuanyuan Chen, Xiaoyan Zhou},
journal = {Colloquium Mathematicae},
keywords = {separable monoidal Hom algebras; Frobenius monoidal Hom algebras; Hom-Frobenius-separability equation; Nakayama automorphisms},
language = {eng},
number = {2},
pages = {229-251},
title = {Separable and Frobenius monoidal Hom-algebras},
url = {http://eudml.org/doc/283761},
volume = {137},
year = {2014},
}

TY - JOUR
AU - Yuanyuan Chen
AU - Xiaoyan Zhou
TI - Separable and Frobenius monoidal Hom-algebras
JO - Colloquium Mathematicae
PY - 2014
VL - 137
IS - 2
SP - 229
EP - 251
AB - 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.
LA - eng
KW - separable monoidal Hom algebras; Frobenius monoidal Hom algebras; Hom-Frobenius-separability equation; Nakayama automorphisms
UR - http://eudml.org/doc/283761
ER -