东北数学（英文版）
東北數學（英文版）
동북수학（영문판）
NORTHEASTERN MATHEMATICAL JOURNAL
2006年
3期
357-369
,共13页
张霞%陈裕群%王燕鸣
張霞%陳裕群%王燕鳴
장하%진유군%왕연명
essential subact%chain condition%PS-act%CS-act
Let S be a semigroup with zero and an S-act be a centered left S-act.This paper is devoted to the study of chain conditions on PS-acts. We prove that a PS-act having finite decomposition has ACC (DCC) on all subacts if it has ACC (DCC) on essential subacts. Moreover, a PS-act with ACC (DCC) on essential subacts has ACC (DCC) on all subacts if and only if it has finite decomposition.We characterize the structure of a PS-act and generalize some results of the Goldie dimension and semisimple S-acts.
