DEPENDENT ELEMENTS OF LEFT CENTRALIZERS OF SEMIPRIME RINGS

作者：Samman Mohammad S^*; Chaudhry Muhammad Anwar

来源：Arabian Journal for Science and Engineering, 2008, 33(2A): 313-319.

• prime ring
• semiprime ring
• left(right) centralizer
• centralizer
• dependent element
• free action

Dependent elements of left centralizers and a freely acting mapping on semiprime rings are considered. It is shown that the dependent elements of a left centralizer of a semiprime ring R are central and form a semiprime subring of R. Furthermore, decompositions of a semiprime ring using a left centralizer, and a centralizer, of the ring and their dependent elements are obtained.

• 出版日期2008-7
• 单位中国石油大学（北京）