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| 摘要: |
| 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Fošner和王宇的结果. |
| 关键词: 素超代数 局部广义超导子 广义超导子 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:国家自然科学基金资助（11171055）；吉林省科技发展计划项目资助（20170520068JH）；吉林省教育厅“十三五”科学技术研究项目资助（吉教科合字[2016]第214号）. |
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| GENERALIZED SUPERDERIVATIONS AND LOCAL GENERALIZED SUPERDERIVATIONS IN A PRIME SUPERALGEBRA |
|
YUAN He
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| Abstract: |
| 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 Fošner and Wang. |
| Key words: prime superalgebra local generalized superderivation generalized superderivation |
