论文标题
降低的环顺序和较低的半晶格II
The reduced ring order and lower semi-lattices II
论文作者
论文摘要
本文继续研究减少的环订单（RR订单），如果$ a^2 = ab $，则$ a <b $。如果在顺序上是较低的半晶格，则降低的环称为RR dood。例子包括弱的贝尔环（WB或PP环），但更多。研究了与此命令以及Pierce捆的本地化。研究了RR - 正交设置在减小环的溢出方面的提升。通过此处开发的方法扩展了有关wb环上的交换力系列环的已知结果，这是非常普遍的，不一定是由有序的mONOID定义的通用性，功率序列环，表明它们是WB。
This paper continues the study of the reduced ring order (rr-order) in reduced rings where $a< b$ if $a^2= ab$. A reduced ring is called rr-good if it is a lower semi-lattice in the order. Examples include weakly Baer rings (wB or PP-rings) but many more. Localizations are examined relating to this order as well as the Pierce sheaf. Liftings of rr-orthogonal sets over surjections of reduced rings are studied. A known result about commutative powers series rings over wB rings is extended, via methods developed here, to very general, not necessarily commutative, power series rings defined by an ordered monoid, showing that they are wB.
