# Seminormal ring

In algebra, a seminormal ring is a commutative reduced ring in which, whenever x, y satisfy $x^3 = y^2$, there is s with $s^2 = x$ and $s^3 = y$. This definition was given by Swan (1980) as a simplification of the original definition of Traverso (1970). A basic example is an integrally closed domain.

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