【摘要】 本文对幺半群Ｓ的任意右商滤子Σ，讨论了Σ－ 主弱内射Ｓ－ 系的余积、积、直和以及Σ－ 主弱内射Ｓ－ 系与Σ－ 内射Ｓ－ 系之间的关系，并且给出了所有Ｓ－ 系是Σ－ 主弱内射的幺半群的特征刻划，推广了有关主弱内射Ｓ－ 系的结果－更多还原

【Abstract】 The coproduct, product and direct sum of Σ -principally weakly injective S -acts and the relationship between Σ -injective S -act and Σ -principally weakly injective S -act for any right quotient filter Σ of a monoid S were investigated in this paper. The monoid over which all S -acts are Σ -principally weakly injective was described, which extended the results of principally weakly injective S -acts.更多还原