Author(s): Wang Xue-kuan
Pages: 184-186
Year: 1988 Issue:  2
Journal: Journal of Mathematical Research and Exposition
Keyword:  伪理想; 除环; 有限域; 充分必要条件; 正则环; 无限域; 子环; 非零; 单位元; 引理;
Abstract: M. K- Sen defined a concept pseudo ideal of a riog in 1976, and use it to study division rings, fields and reqular rings. In this paper we have proved that does not exist any proper pseudo ideal in a non-Commutative division r ring and a finite field. Hence it is trivial that M- K- Sen's results on pseudo ideals of division rings, we have studed pseudo ideals of infinite fields, obt obtained some useful results on stucture of division rings .