Tight closure

In mathematics, in the area of commutative algebra, tight closure is an operation defined on ideals in positive characteristic. It was introduced by Melvin Hochster and Craig Huneke (1988, 1990).

Let ${\displaystyle R}$ be a commutative noetherian ring containing a field of characteristic ${\displaystyle p>0}$. Hence ${\displaystyle p}$ is a prime number.

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