σ-半素环上广义（θ，θ）-导子的性质  

Properties of Derivationson Generalized（θ,θ）-Derivatives on σ-Semi-prime Rings

作　　者：钟佩伶 ZHONG Peiling(College of Mathematics,Jilin Normal University,Jilin,Changchun 130000,China)

机构地区：[1]吉林师范大学数学学院

出　　处：《内江师范学院学报》2020年第2期33-35,共3页Journal of Neijiang Normal University

摘　　要：运用替换、线性化等代数方法研究将半素环上广义(θ,θ)-导子的性质推广到σ-半素环上.如果R是σ-半素环,θ是R上的自同构,设F是R上的广义(θ,θ)-导子,(θ,θ)-导子d是F的伴随导子,且d与σ都是可交换的.若F在R上作为同态,则有d=0.By use of the algebraic methods such as substitution and linearization,the properties of the generalized-derivatives on the semi-prime ring were extended to theσ-semi-prime ring.If(θ,θ)Ris aσ-semi-prime ring,andθis an automorphism on R,meanwhile let Fbe a generalized(θ,θ)-derivation on R,-derivative dis an adjoint derivative of F,andσare commutative,if F on Ris of(θ,θ)homomorphism,there is d=0.

关 键 词：半素环 广义(θ θ)-导子 

分 类 号：O153.3[理学—数学]