论文标题
gendo-frobenius代数和共同授课
Gendo-Frobenius algebras and comultiplication
论文作者
论文摘要
Gendo-Frobenius代数是Frobenius代数和Gendo对称代数的常见概括。为Gendo-Frobenius代数构建了一个共同构建，该代数专门针对Frobenius和Gendo-Angrimemmetric代数的已知合作。此外，Frobenius代数被证明是与该集合兼容的Cousit的Gendo-Frobenius代数。此外，给出了Gendo-Frobenius代数的新特征。这种新的特征是构建Gendo-Frobenius代数的合作的关键。
Gendo-Frobenius algebras are a common generalisation of Frobenius algebras and of gendo-symmetric algebras. A comultiplication is constructed for gendo-Frobenius algebras, which specialises to the known comultiplications on Frobenius and on gendo-symmetric algebras. In addition, Frobenius algebras are shown to be precisely those gendo-Frobenius algebras that have a counit compatible with this comultiplication. Moreover, a new characterisation of gendo-Frobenius algebras is given. This new characterisation is a key for constructing the comultiplication of gendo-Frobenius algebras.
