Produs direct de grupuri

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Laurentiu Tucaa
Thales
Posts: 145
Joined: Sun Mar 22, 2009 6:22 pm
Location: Pitesti

Produs direct de grupuri

Post by Laurentiu Tucaa »

Fie \( G_1,G_2,...,G_n \) grupuri si \( G=G_1XG_2X...XG_n \) produsul direct al acestora .Daca \( f: (\mathbb{Q},+)\rightarrow G \) este un morfism injectiv ,aratati ca exista \( k,1\le k\le n \) a.i. exista un morfism injectiv \( g_k: (\mathbb{Q},+)\rightarrow G_k \).


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