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\title{
Exam for ``Ordered Algebraic Structures'' (USPA1) \\ winter semester 2018/2019
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\section*{Questions set No. 3}

\bigskip

\textbf{1.} 
Formulate and prove the Dedekind theorem about characterization of modular 
lattices.


\bigskip


\textbf{2.}
For which rings $R$ the ring of $2 \times 2$ matrices with coefficients in $R$
is a Boolean ring?


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