Trace 1, 2×2 matrices over principal ideal domains are exchange

Description

We prove that trace 1 matrices over principal ideal domains are exchange and characterize 2\times 2 exchange matrices over commutative domains. In addition, we emphasize large classes of not exchange 2\times 2 and 3\times 3 integral matrices.

 

 

 

 

Additional information

Author(s)

Pop, Horia F., Călugăreanu, Grigore