%0 Journal Article %T 关于S-系的积<br>On products of S-acts %A 乔虎生 %A 赵婷婷< %A br> %A QIAO Hu-sheng %A ZHAO Ting-ting %J 山东大学学报(理学版) %D 2018 %R 10.6040/j.issn.1671-9352.0.2017.419 %X 摘要: 设S是左collapsible幺半群或右reversible幺半群时, 证明了S-系的直积的一些性质也可以转移到其分量上。 所得结论推广了关于这些性质的已有结果, 获得了S-系的直积的性质对其分量具有遗传性质的新的幺半群类。<br>Abstract: Let S be a left collapsible or a right reversible monoid. It is proved that some properties can also transfer from products of acts to their components. The results generalized some known results on theseproperties, and some new classes of monoids over which the properties of product of acts can transfer to their components are obtained %K 直积 %K 右reversible幺半群 %K < %K i> %K S< %K /i> %K -系 %K 左collapsible幺半群 %K < %K br> %K < %K i> %K S< %K /i> %K -act %K left collapsible monoid %K right reversible monoid %K direct products %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.419