素超代数的广义超导子和局部广义超导子
GENERALIZED SUPERDERIVATIONS AND LOCAL GENERALIZED SUPERDERIVATIONS IN A PRIME SUPERALGEBRA

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.
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