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prime ring

   Also found in: Wikipedia 0.01 sec.
prime ring [¦prīm ′riŋ]
(mathematics)
For a fieldKwith multiplicative unit elemente, the ring consisting of elements of the formne, wherenis an integer.


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Their topics include Boolean valued models and semi-prime rings, Beidar's contributions to module and ring theory, lie maps in prime rings, and Beidar's contribution to radical theory and related topics.
Abstract Let R be a prime ring of characteristic [not equal to] 2 with right quotient ring U and extended centroid C, g [not equal to] 0 a generalized derivation of R, L a non-central Lie ideal of R and n [greater than or equal to] 1 such that [g(u), u][.
Abstract Let R be a prime ring of characteristic different from 2, d a non-zero derivation of R and I a non-zero right ideal of R such that [d(x)[x.
 
 
 
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