分次近似Frobenius代数的Segre积

The Segre Product of Graded Nearly Frobenius Algebras

文章主要研究分次近似Frobenius代数,提出了k-近似Frobenius代数的概念,证明了两个k-近似Frobenius代数的Segre积还是k-近似Frobenius代数,并且对分次近似Frobenius代数的Frobenius空间进行了直和分解.

The graded nearly Frobenius algebras is studied in this paper.The concept of a k-nearly Frobenius algebra is proposed.It is proved that the Segre product of two k-nearly Frobenius algebras is still a k-nearly Frobenius algebra.Furthermore,a direct sum decomposition could be performed on the Frobenius space of graded nearly Frobenius algebra.