形式三角矩阵半环的广义导子  

Generalized Derivations of Formal Triangular Matrix Semi-rings

作　　者：付婉婷 FU Wanting(College of Mathematics and Computer,Jilin Normal University,Changchun,Jilin Province,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：《科技资讯》2023年第16期221-225,共5页Science & Technology Information

摘　　要：半环理论是代数理论上研究的热点问题。近年来,越来越多的研究人员注意到了半环理论在数学及其他研究领域的运用也非常普遍,在这些其他学科中有着广泛的应用。研究了形式三角矩阵半环Tri(A,M,B)上的广义导子的定义和表示形式。给出了半环上双半模上的拟同态映射f的定义。证明了半环Tri(A,M,B)上的任意的一个广义导子可以由半环A,B上的广义导子和(A,B)-双半模M上的一个拟同态映射来表示。The semi-ring theory is a hot topic in the algebraic theory.In recent years,more and more researchers have noticed that the use of the semi-ring theory in mathematics and other research fields is also very common,and that there are a wide range of applications in these disciplines.This paper studies the definition and representation of the generalized derivation on the formal triangular matrix semi-ring Tri(A,M,B),gives the definition of a quasi-homomorphic mapping f on the bi-halfmodule on the semi-ring,and proves that any generalized derivation on the semi-ring can be expressed by the generalized derivations on the semi-rings A and B and a quasi-homomorphism mapping on the-bi-semimodule M.

关 键 词：广义导子 半环 半模 形式三角矩阵半环 

分 类 号：O153.3[理学—数学]