关联代数上的ξ-Lie导子  

The ξ-Lie derivations of incidence algebras

作　　者：姜欣彤 Jiang Xintong(College of Mathematics and Computer,Jilin Normal University,Changchun 130000,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林长春130000

出　　处：《湖南文理学院学报（自然科学版）》2023年第4期11-15,共5页Journal of Hunan University of Arts and Science(Science and Technology)

摘　　要：用纯代数的方法探讨了含有单位元的交换环R上的关联代数I(X, R)(其中X是局部有限预序集)上ξ-Lie导子(ξ≠0,±1)的性质,给出了ξ-Lie导子的表达形式及系数之间的关系,并证明了ξ≠1时关联代数I(X, R)上任意ξ-Lie导子(ξ≠1)是导子。The properties of ξ-Lie derivations(ξ≠0,1)on incidence algebras I(X,R)(X be a locally finite preordered set)over commutative rings R with identity are discussed by using the method of pure algebra.The expression form of ξ-Lie derivations and the relationship between coefficients are given.It is proved that any ξ-Lie derivation(ξ≠1)on incidence algebras I(X,R)is a derivation.

关 键 词：关联代数 ξ-Lie导子 导子 恒等式 

分 类 号：O15[理学—数学]