约化环的推广(英文)

Extensions of Reduced Rings

称环R是约化环,如果a2=0,那么a=0.讨论了约化环和3-Armendariz环之间的关系,证明了不带单位元的约化环上的幂级数环和某些特殊的上三角矩阵环是3-Armendariz环.

A ring R is a reduced ring, provided that a2 = 0 implies that a=0. The paper discussed the relations between reduced rings and 3-Armendariz rings and proved that power series rings and some special upper triangular matrix rings of reduced rings are 3-Armendariz rings.