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


Călugăreanu, Grigore and  Pop, Horia F.


Abstract

carpathian_2020_36_3_391_399_abstract

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