Principal Ideal

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Krull's principal ideal theorem - In commutative algebra, Krull's principal ideal theorem, named after Wolfgang Krull (1899 - 1971), gives a bound on the height of a principal ideal in a Noetherian ring. The theorem is sometimes referred to by its German name, Krulls Hauptidealsatz.

Principal ideal domain - In abstract algebra, a principal ideal domain (PID) is an integral domain in which every ideal is principal (that is, generated by a single element).

Principal ideal - In ring theory, a branch of abstract algebra, a principal ideal is an ideal I in a ring R that is generated by a single element a of R.

Principal ideal theorem - This article is about the Hauptidealsatz of class field theory. You may be seeking Krull's principal ideal theorem, also known as Krulls Hauptidealsatz, in commutative algebra


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