摘要
首先讨论了么半群上的严格根的一些性质。主要结果是:D是V的一子类,对任意A∈D,A对子么半群满足降链条件;则D是严格半单类当且仅当D是遗传的,且D满足性质X。其次探讨了么半群上的严格根与环的根理论的异同点;而且得到了一些有趣的结果。
Some properties of strict radical of monoids is firstly discussed. the main result is the following. If D is a Subclass of V,for any A∈D,A satisfies submonoids with decending chain condition;D is a strict semisimple class if and only if D is hereditary,and D satisfies the property . Secondly, the similarities and differences between strict radical of monoids and radical of rings is studied and some interesting results have been gained.
出处
《西北大学学报（自然科学版）》
CAS
CSCD
1993年第4期335-338,共4页
Journal of Northwest University（Natural Science Edition）
关键词
严格根
下根
上根
么半群
strict radical upper radical lower radical
