| On Monoids over which All Strongly Flat Right S-Acts Are Regular |
| Received:November 25, 2004 |
| Key Words:
strong flat S-acts regular S-acts.
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| Fund Project:the National Natural Science Foundation of China (10171082) and by NWNU-KJCXGC212 |
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| Abstract: |
| This paper investigates the characterizations of monoids over which all strongly flat right $S$-acts are regular. It is shown that all strongly flat right $S$-acts are regular if and only if $S$ is a right PSF monoid and every left collapsible submonoid of $S$ contains a left zero. This result gives a new answer to the problem in Kilp and Knauer$^{[7]}$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.04.011 |
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