Open AccessDependent Elements of Derivations on Semiprime Rings
Author(s) -
Faisal Ali,
Muhammad Anwar Chaudhry
Publication year - 2009
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2009/696737
Subject(s) - algorithm , artificial intelligence , computer science
We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d. We show that there exist ideals U and V of R such that U⊕V is an essential ideal of R, U∩V={0}, d=0 on U, d(V)⊆V, and d acts freely on V
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