Weak Krull-Schmidt for Infinite Direct Sums of Cyclically Presented Modules over Local Rings
-generated uniserial modules over chain rings
The purpose of this paper is to provide a criterion of an occurrence of uncountably generated uniserial modules over chain rings. As we show it suffices to investigate two extreme cases, nearly simple chain rings, i.e. chain rings containing only three two-sided ideals, and chain rings with “many” two-sided ideals. We prove that there exists an -generated uniserial module over every non-artinian nearly simple chain ring and over chain rings containing an uncountable strictly increasing (resp. decreasing)...
О кольцах Уорфилда
Образующие и определяющие соотношения в специальной мультипликативной группе слабосовершенного кольца.
Структура полусовершенных колец с коммутативным радикалом Джекобсона