分次近似Frobenius代数的Segre积  

The Segre Product of Graded Nearly Frobenius Algebras

作　　者：励雨哲 俞晓岚 LI Yuzhe;YU Xiaolan(School of Mathematics,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]杭州师范大学数学学院,浙江杭州311121

出　　处：《杭州师范大学学报（自然科学版）》2023年第3期290-295,共6页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11871186).

摘　　要：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.

关 键 词：分次近似Frobenius代数 Segre积 Frobenius空间 

分 类 号：O153[理学—数学]