We construct a countably infinite family of pairwise non-isomorphic maximal ${\mathbb Q}[X]$-orders such that the full $2$ by $2$ matrix rings over these orders are all isomorphic.

MSC Classifications:

16S50, 16H05, 16N60 show english descriptions Endomorphism rings; matrix rings [See also 15-XX]
Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
Prime and semiprime rings [See also 16D60, 16U10] 16S50 - Endomorphism rings; matrix rings [See also 15-XX]
16H05 - Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
16N60 - Prime and semiprime rings [See also 16D60, 16U10]

top of page | contact us | social media | privacy | site map