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Inel finit vs monoid finit

Posted: Thu Apr 17, 2008 7:58 pm
by bae
Fie \( A \) un inel finit. Aratati ca exista doua numere naturale \( m>p\geq 1 \) astfel incat \( a^m=a^p \) pentru orice \( a\in A \).

ONM 2001

Posted: Tue Apr 29, 2008 9:53 pm
by Dragos Fratila
Problema apare si in
T. Y. Lam - A first course in Noncommutative Rings - 1990