JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (04): 71-75.doi: 10.6040/j.issn.1671-9352.0.2014.416

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The presented dimensions of polynomial rings

GUO Ying, YAO Hai-lou   

  1. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • Received:2014-09-18 Revised:2015-03-04 Online:2015-04-20 Published:2015-04-17

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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.

Key words: polynomial ring, coherent ring, presented dimension

CLC Number: 

  • O153.3
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