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Multilinear polynomials are surjective on algebras with surjective inner derivations
Journal of Algebra ( IF 0.8 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.jalgebra.2020.09.004
Daniel Vitas

Abstract Let f ( X 1 , … , X n ) be a nonzero multilinear noncommutative polynomial. If A is a unital algebra with a surjective inner derivation, then every element in A can be written as f ( a 1 , … , a n ) for some a i ∈ A .

中文翻译:

多重线性多项式在具有满射内推导的代数上是满射的

摘要 令 f ( X 1 , … , X n ) 是一个非零多重线性非交换多项式。如果 A 是一个带有满射内推导的单位代数,那么对于某些 ai ∈ A ,A 中的每个元素都可以写成 f ( a 1 , … , an ) 。
更新日期:2021-01-01
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