Commutative algebra | Ideals (ring theory)

Principal ideal

In mathematics, specifically ring theory, a principal ideal is an ideal in a ring that is generated by a single element of through multiplication by every element of The term also has another, similar meaning in order theory, where it refers to an (order) ideal in a poset generated by a single element which is to say the set of all elements less than or equal to in The remainder of this article addresses the ring-theoretic concept. (Wikipedia).

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Ideal (order theory) | Integral domain | Class field theory | Ideal (ring theory) | Ring of integers | Polynomial | Emil Artin | Greatest common divisor | David Hilbert | Principal ideal domain | Variable (mathematics) | Dedekind domain | Hilbert class field | Principal ideal ring | Mathematics | Ramification (mathematics) | Unit (ring theory) | Integer | Fundamental theorem of arithmetic | Teiji Takagi | Constant term | Ring (mathematics) | Principal ideal theorem | Number theory | Ring theory | Krull's principal ideal theorem | Euclidean domain | Order theory | Subset | Galois group | Complex number | Galois extension | Unique factorization domain | Algebraic integer | Contradiction | Abelian group | Commutative ring