Generic matrix ring
= Generic matrix ring
{wiki=Generic_matrix_ring}
A generic matrix ring is a mathematical structure that is used in algebra, particularly in the study of algebras and representations. It is typically denoted as \\( M_n(R) \\), where \\( R \\) is a commutative ring and \\( n \\) is a positive integer. The generic matrix ring can also be defined in a more abstract setting where elements of the ring are not necessarily evaluated at specific entries but can be treated as formal matrices with entries from the ring \\( R \\).