利用正则元、换位子等相关理论对半质环进行研究,给出半质环可换所满足的中心元条件,得到了当R是半质环,Va∈R,2ma为正则元时,R为交换环的2个交换性条件,拓宽了有关文献的结论.
Semi-prime rings are studied and center elements of the commutative semi-prime rings by using normal element, commutator and other related knowledge. Two results are given on commutativity of semi-prime rings are proved when R is a semi-prime ring,a ∈ R,2ma is a normal element,which extends some known conclusions.