Separable and Frobenius monoidal Hom-algebras

• Autorzy: Yuanyuan Chen , Xiaoyan Zhou
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 18C20: Algebras and Kleisli categories associated with monads
• 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories
• 18C15: Triples (= standard construction, monad or triad), algebras for a triple, homology and derived functors for triples
• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 137
• Numer: 2
• Strony: 229-251

Daty

wydano

2014

Twórcy

autor

Yuanyuan Chen

• College of Science, Nanjing Agricultural University, Nanjing 210095, P.R. China

autor

Xiaoyan Zhou

• College of Science, Nanjing Agricultural University, Nanjing 210095, P.R. China

Identyfikatory

DOI

10.4064/cm137-2-8