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2
Easy verification ring theory
Easy verification ring theory
Source:
October 31, 2019
abstract algebra
matrix ring
Ring Theory
Problem Statement
Show that
{
X
∈
M
2
(
Z
3
)
∣
(
1
1
2
2
)
X
(
1
2
2
1
)
=
0
}
\left\{ X\in\mathcal{M}_2\left( \mathbb{Z}_3 \right)\left| \begin{pmatrix} 1&1\\2&2 \end{pmatrix} X\begin{pmatrix} 1&2\\2&1 \end{pmatrix} =0 \right. \right\}
{
X
∈
M
2
(
Z
3
)
(
1
2
1
2
)
X
(
1
2
2
1
)
=
0
}
is a multiplicative ring. Cătălin Țigăeru
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