1. Department of Mathematics, Nanjing University, Nanjing 210093, China2. Department of Mathematics, Taizhou College, Taizhou 225300, China3. School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
Abstract:
Some equivalent conditions for double Frobenius algebras to be strict ones are given. Then some examples of (strict or non-strict) double Frobenius algebras are presented. Finally, a sufficient and necessary condition for the trivial extension of a double Frobenius algebra to be a (strict) double Frobenius algebra is given.