%0 Journal Article %T 素超代数的广义超导子和局部广义超导子<br>GENERALIZED SUPERDERIVATIONS AND LOCAL GENERALIZED SUPERDERIVATIONS IN A PRIME SUPERALGEBRA %A 作者 %A 袁鹤 %J 数学杂志 %D 2018 %X 本文研究了含有非平凡幂等元的素超代数A上广义超导子和局部广义超导子的问题.利用引入幂等元的方法,证明了A上的局部广义超导子均是广义超导子,并给出了A上广义超导子的一个刻画,推广了Fo?ner和王宇的结果.<br>In this paper, we study generalized superderivations and local generalized superderivations in a prime superalgebra A with a nontrivial idempotent. By using the method of introducing idempotents, we prove that every local generalized superderivation is a generalized superderivation and give a characterization of generalized superderivations in A, which generalize the results of Fo?ner and Wang %K 素超代数 局部广义超导子 广义超导子< %K br> %K prime superalgebra local generalized superderivation generalized superderivation %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180311&flag=1