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- W2544744158 abstract "ABSTRACTLet R be a ring with * and with 1. Assume that R has no nil ideals (other than 0) and that R is integral over its center Z, that is to say, that each x in R satisfies a monic polynomial equation (in x) with coefficients in Z. Then the following conditions are equivalent. Condition 1: * is a commuting (or normal) involution, that is, for each x in R, x∗x=xx∗. Condition 2: For each x in R, there is an integer N = N(x)≥1 depending on x such that dxN(x∗)=0 where dx is the map of R defined by dx(y): = yx−xy, for all y in R, and dxN is the Nth power of dx (under composition). Condition 3: For each x in R, there is an integer N′=N′(x)=1 depending on x such that x∗xN′=xN′x∗." @default.
- W2544744158 created "2016-11-04" @default.
- W2544744158 creator A5060154331 @default.
- W2544744158 date "2016-10-28" @default.
- W2544744158 modified "2023-09-26" @default.
- W2544744158 title "More on involutions with local Engel or power commuting conditions" @default.
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- W2544744158 doi "https://doi.org/10.1080/00927872.2016.1237641" @default.
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