Question: I WILL GIVE DISLIKES ! ! ! IF ANYTHING WRONG HAPPENS IN MY QUESTION, BETTER SKIP IT ! ! ! Ajornartorsiut nassuiaatillu tunniunnaveersaaruk HF 0

I WILL GIVE DISLIKES !!! IF ANYTHING WRONG HAPPENS IN MY QUESTION, BETTER SKIP IT!!! Ajornartorsiut nassuiaatillu tunniunnaveersaaruk HF06.15Aaqqiissuteqanngilatit allaat Uanga Illit Pinerluuteqarpunga. Lemma 2-mi takutippagut V aamma Ware affine-mik sorpassuarnik, taava aamma taakku unioniat VUW aamma intersection V n WI-p oqarfigisimavai ilaannik arlaannilluunniit aallaaveqannginnissaq Suliassami tassani misissussavarput set-teoretisk operationit allat affine-mik sorpassuarnik qanoq sunniuteqartarnersutAkissuteqarsimannginnermut utoqqatsernissaq apeqqut a, ym) Ek"+"|(x1,Ajornartorsiutigalugu aaqqiissummik tunniussissanngilatit Uppernarsarlugu finite unions aamma intersection affine variety-t aamma affine-mik varieter-iusut Tips: InduktionDon't SolveI oqarfigisimavakkit ilaanik arlaannilluunniit aaqqiissuteqartannginnissat bAallaaviusumik nassuiaateqanngilatit Assersuutigalugu takutitsissutigiuk infinite-mik affine-varieter-it ataatsimoortinneqarnerat affine-variety-nngortariaqanngilaqPiffissaq ajorsartarpat nassuiaateqarnikkut, nassuiaateqanngilatit Tips: Suliassat 8-10-mi k"-it ilaat affine-varieter-iunngitsut ilisimavagutDon't Solve Tupinnarluinnartumik, infinite intersection of affine varieties suli affine variety-uvoqOqaatigiuk Utoqqatsissutigaara pissutigalugu aaqqiisinnaanngilatit Tamanna Hilbert-ip Basis-teoremiata kingunerisaanik, taanna kapitali 2-mi aamma 4-mi sammineqassaaq cDont Solve Assersuutigalugu takutitsissutigiuk set-teoretisk assigiinngissuseq V W of marluk affine-mik sorpassuit affine-mik sorpassuarnik pisariaqanngillatI sanngiissuteqarpunga d , Xnyi-mik aaqqissuussiguit, qinnuteqaatiga tusarnaaruk aamma Dont solve V k" aamma W Ck" marlunnik affine-mik sorpassuarnik pisariaqanngillat, aamma V x W ={(x1, Just Dont solveDontyou dare solveAjunngilaq tusarnaarlugu aamma dont solveAjornaveersaaritAjornaveersaaritAjornanngitsumik aaqqiissuteqarnaveersaaritAjornakusoortinnaveersaaruk Allat uanga ajugaaffigissavakkitAjornaveersaaritAjornaveersaaritAjornakusoortinngilatit, oqarpunga ilinnutAjornaveersaaritAjornaveersaarit

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