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-  2015 

多项式环的表现维数
The presented dimensions of polynomial rings

DOI: 10.6040/j.issn.1671-9352.0.2014.416

Keywords: 多项式环,表现维数,凝聚环,
polynomial ring
,coherent ring,presented dimension

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Abstract:

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.
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

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