环上的σ-导子(英文)

ON σ-DERIVATIONS OF RINGS

本文研究了σ-导子的扩张问题,并且在本原环上刻化了s-导子。

Let cr be a automorphism of ring R. An additive map d of a subring S of R into R ia called a or-derivation if d(xy)=d(x)y+(r (x)d(y) for all x, y∈S. In this note, we prove that an cr -derivation of a semiprime ring R can be extended uniquely to a cr -derivation of Q(?) , where Q(?) is the maximal right ring of quotient of R. From this characterization, we obtain a result of cr -derivation of primitive ring.