Opposite ring
= Opposite ring
{wiki=Opposite_ring}
In mathematics, specifically in abstract algebra, an **opposite ring** is a concept that arises when considering the structure of rings in a different way. If \\( R \\) is a ring, the **opposite ring** \\( R^\{op\} \\) (also sometimes denoted as \\( R^\{op\} \\) or \\( R^\{op\} \\)) is defined with the same underlying set as \\( R \\), but with the multiplication operation reversed.