# Talk:Simple algebra

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Mathematics rating:
 Stub Class
 Low Importance
Field:  Algebra

"The second condition in the definition precludes the following situation: consider the algebra

   \{ \begin{bmatrix} 0 & \alpha \\ 0 & 0 \\ \end{bmatrix}\, | \, \alpha \in \mathbb{C} \}


with the usual matrix operations"

in my opinion, this is NOT algebra, because there is not "1". And the algebra HAS (in respect to this wikipedia page: http://en.wikipedia.org/wiki/Algebra_%28ring_theory%29) to be a ring with unit! I hope that my terrible english is comprehensible at least--80.180.27.186 (talk) 08:32, 11 September 2009 (UTC)