Geodesic
Separable and Frobenius monoidal Hom-algebras
Yuanyuan Chen 1   ; Xiaoyan Zhou 1
1 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China
Colloquium Mathematicum, Tome 137 (2014) no. 2, pp. 229-251 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm137-2-8
Keywords: generalizations separable frobenius algebras separable frobenius monoidal hom algebras introduced related hom frobenius separability equation hfs equation characterize these hom algebraic structures central element different normalizing conditions structure these types monoidal hom algebras studied nakayama automorphisms frobenius monoidal hom algebras considered

Yuanyuan Chen  1   ; Xiaoyan Zhou  1

1 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China 
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Yuanyuan Chen; Xiaoyan Zhou. Separable and Frobenius monoidal Hom-algebras. Colloquium Mathematicum, Tome 137 (2014) no. 2, pp. 229-251. doi: 10.4064/cm137-2-8

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