关于满足条件(PWP _K)的S-系

On S-acts satisfying condition (PWP _K)

摘要

设K是幺半群S的理想,研究满足条件(PWP _K)的S-系的基本性质。建立S-系的余直积,有向上极限,Rees短正合序列与条件(PWP _K)的关系,并利用S-满同态的纯性给出条件(PWP _K)的一个刻画。

Abstract

Let K be an ideal of a monoid S. The basic properties of the S-acts satisfying condition (PWP _K) are investigated. The relations between coproducts, directed colimits, Rees short exact sequences, and condition (PWP _K) are established respectively. A characterization of the condition (PWP _K) is given by using the purity of S-epimorphism.

关键词

条件(PWP _K) / 理想 / S-系 / 幺半群

Key words

condition (PWP _K) / ideal / S-act / monoid

参考文献

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基金资助

甘肃省科技厅基础研究创新群体项目(23JRRA684)