▁U FR ▁in ▁ 2 0 0 8 . ▁Prior ▁to ▁his ▁ret irement , ▁a ▁special ▁conference ▁on ▁polynomial ▁system ▁solving ▁was ▁held ▁at ▁Univers ité ▁Pierre ▁et ▁Marie ▁Cur ie ▁to ▁celebr ate ▁his ▁contributions ▁to ▁computer ▁algebra , ▁polynomial ▁systems ▁solving ▁and ▁applications . ▁ ▁Selected ▁ ▁contributions ▁▁ ▁noted ▁that ▁a ▁module ▁is ▁flat ▁if ▁and ▁only ▁if ▁it ▁is ▁a ▁direct ▁limit ▁of ▁finit ely ▁generated ▁free ▁modules . ▁As ▁a ▁consequence , ▁one ▁can ▁dedu ce ▁that ▁every ▁finit ely ▁presented ▁flat ▁module ▁is ▁project ive . ▁( See ▁) ▁ ▁In ▁computer ▁algebra , ▁the ▁result ant ▁of ▁two ▁polynomials ▁can ▁be ▁used ▁to ▁analyze ▁mod ular ▁images ▁of ▁the ▁greatest ▁common ▁divis or ▁of ▁integer ▁polynomials ▁where ▁the ▁coefficients ▁are ▁taken ▁mod ulo ▁some ▁prime ▁number ▁p . ▁The ▁result ant ▁of ▁two ▁polynomials ▁is ▁frequently ▁computed ▁in ▁the ▁Laz ard – R io bo o – Tra ger ▁method ▁of ▁finding ▁the ▁integral ▁of ▁a ▁ratio ▁of ▁polynomials . ▁▁ ▁introduced ▁the ▁le xt ri angular ▁algorithm ▁to ▁obtain ▁the ▁tri angular ▁decomposition ▁of ▁a ▁polynomial ▁system . ▁ ▁See ▁. ▁ ▁Bibli ography ▁▁ ▁. ▁ ▁References ▁ ▁External ▁links ▁▁▁▁ ▁Category : 1 9 4 1 ▁birth s ▁Category : 2 0 th - century ▁French ▁mathemat icians ▁Category : 2 1 st - century ▁French ▁mathemat icians ▁Category : L iving ▁people ▁Category : Pierre ▁and ▁Marie ▁Cur ie ▁University ▁fac ulty ▁Category : Al gebra ic ▁geom eters <0x0A> </s>