【摘要】 设R是2-非挠的带有对合“*”的素MA-半环，D是R上的广义反导子.本文证明了如果R满足下列条件之一：(1)[D[u,u~*],r]=0,(2)[[D(u),u~*],r]=0,(3)[D(u~。u~*),r]=0,(4)[D(u)~。u~*,r]=0,u,r∈R,则R是交换半环，这里[u,r]表示R中的换位子.更多还原

【Abstract】 Let R be a 2-torsion free prime MA-semiring with an involution “*”and D a generalized reverse derivation on R. It is proved that if R satisfies one of the following conditions:(1)[D[u,u~*],r]=0,(2)[[D(u),u~*],r]=0,(3)[D(u~。u~*),r]=0 and(4)[D(u)~。u~*,r]=0,u,r∈R,then R is a commutative semiring, where [u,r] is commutator in R.更多还原