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- W2103174477 abstract "Let R be a prime ring with extended centroid F and δ an F-algebraic derivation of R with the associated inner derivation ad(b). Set , the subring of constants of δ in R. We characterize the primeness and semiprimeness of R (δ) by the minimal polynomial μ(λ) of b over F. We also show that, if R (δ) is a prime PI-ring, then PI-deg(R) = PI-deg(R (δ)) × deg F b, where PI-deg(R) denotes the PI-degree of R. This is also extended to the case when R (δ) is a semiprime ring." @default.
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- W2103174477 date "2008-09-17" @default.
- W2103174477 modified "2023-09-24" @default.
- W2103174477 title "Constants of Algebraic Derivations in Prime Rings" @default.
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- W2103174477 doi "https://doi.org/10.1080/00927870802107918" @default.
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