Constants of Algebraic Derivations in Prime Rings

摘要

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.View full textDownload full textKey WordsAlgebraic derivation, Extended centroid, Inner and outer degrees, PI-degree, Prime ring2000 Mathematics Subject Classification16N60, 16K20, 16R50Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870802107918