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algebra pierścienie
algebra pierścienie
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Jeśli P jest pierścieniem całkowitym to...
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poprawność ilorazowego
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pierścień ilorazowy
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F jest homomorfizmem pierścieni. wtedy
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tw o izomorfizmie dla pierścieni
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charakteryzacja pierwszosci w języku ilorazowego
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charakteryzacja maksymalnosci w języku ilorazowego
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własności ideału maksymalnego
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Gauss
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stopień wielomianu
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współczynniki wielomianu
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ideały w pierścieniu Euklidesowym
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relacje podzielności i stowarzyszenia
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element nierozkladalny/rozkładalny
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pierwszosc ideału a nierozkaldalnosc generatora
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element pierwszy
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tw bezouta
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nierozkaldalnosc nad ciałem
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rozkład skończony i rozkład jednoznaczny
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P jest pierścieniem całkowitym w którym każdy nieodwracalny element posiada rozkład skończony
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wielomian pierwotny
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lemat Gauss P[X]
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