%0 Journal Article %T 多项式环的表现维数<br>The presented dimensions of polynomial rings %A 郭莹 %A 姚海楼< %A br> %A GUO Ying %A YAO Hai-lou %J 山东大学学报(理学版) %D 2015 %R 10.6040/j.issn.1671-9352.0.2014.416 %X 摘要: 设R为有单位元的环,M为右R-模,通过研究多项式环上的表现维数,得到了当R,R[x]为凝聚环时,MR与MR[x]的表现维数之间的关系以及R与R[x]的表现维数之间的关系等结论.<br>Abstract: Let R be a ring with a unit element, and M be a right R-Module. The relationship between FPd(MR) and FPd(MR[x]) as well as between FPD(R) and FPD(R[x]) are obtained by using the presented dimensions of polynomial rings, when R and R[x] are coherent rings %K 多项式环 %K 表现维数 %K 凝聚环 %K < %K br> %K polynomial ring %K coherent ring %K presented dimension %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.416