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Isomorphisms between graded Frobenius algebras constructed from twisted superpotentials
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1029-1044
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In order to distinguish the connected graded Frobenius algebras determined by different twisted superpotentials, we introduce the nondegeneracy of twisted superpotentials. We give the sufficient and necessary condition for connected graded Frobenius algebras determined by two nondegenerate twisted superpotentials to be isomorphic. As an application, we classify the connected $\mathbb Z$-graded Frobenius algebra of length 3, whose dimension of the degree 1 is 2.
In order to distinguish the connected graded Frobenius algebras determined by different twisted superpotentials, we introduce the nondegeneracy of twisted superpotentials. We give the sufficient and necessary condition for connected graded Frobenius algebras determined by two nondegenerate twisted superpotentials to be isomorphic. As an application, we classify the connected $\mathbb Z$-graded Frobenius algebra of length 3, whose dimension of the degree 1 is 2.
DOI : 10.21136/CMJ.2022.0315-21
Classification : 16W50, 16W55
Keywords: graded Frobenius algebra; coalgebra; twisted superpotential 
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Xia, Xuejun; Li, Libin. Isomorphisms between graded Frobenius algebras constructed from twisted superpotentials. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1029-1044. doi: 10.21136/CMJ.2022.0315-21

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