- #1
evinda
Gold Member
MHB
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Hi! :)
I have a question..
Are all the following sentences right??
-$T_1$ subring of $R_1$,where $R_1=\{a+ b \sqrt{2}\}$ and $T_1=\{2a+b \sqrt{2}\}$
- $T_2$ subring of $R_2$,where $T_2=\begin{pmatrix}
1 & 0\\
0 & a
\end{pmatrix}: a\in \mathbb{R}$ and $R_2=M_2(\mathbb{R})$
-Does the set $R_6=\mathbb{Z} \times \mathbb{Q} \times \mathbb{Z}$ have infinitely many invertible elements? So,does it belong in $R^{*}$?
Or is the last wrong??![Confused :confused: :confused:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
I have a question..
Are all the following sentences right??
-$T_1$ subring of $R_1$,where $R_1=\{a+ b \sqrt{2}\}$ and $T_1=\{2a+b \sqrt{2}\}$
- $T_2$ subring of $R_2$,where $T_2=\begin{pmatrix}
1 & 0\\
0 & a
\end{pmatrix}: a\in \mathbb{R}$ and $R_2=M_2(\mathbb{R})$
-Does the set $R_6=\mathbb{Z} \times \mathbb{Q} \times \mathbb{Z}$ have infinitely many invertible elements? So,does it belong in $R^{*}$?
Or is the last wrong??
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