关键词: 多项式恒等式； 超代数； 超对合； 本原超代数

Abstract:

We mainly proved that if a superalgebra A with a superinvolution * satisfies a *polynomial identity, then A must be a PIalgebra and also proved that a primitive superalgebra satisfying a polynomial identity must be a simple superalgebra.

Key words: polymomial identity, superalgebra, superinvolution, primitive superalgebra