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bn:00658531n
Noun Concept
Categories: Commutative algebra, Ideals
EN
principal ideal  Principle ideal
EN
In mathematics, specifically ring theory, a principal ideal is an ideal I {\displaystyle I} in a ring R {\displaystyle R} that is generated by a single element a {\displaystyle a} of R {\displaystyle R} through multiplication by every element of R. Wikipedia
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EN
In mathematics, specifically ring theory, a principal ideal is an ideal I {\displaystyle I} in a ring R {\displaystyle R} that is generated by a single element a {\displaystyle a} of R {\displaystyle R} through multiplication by every element of R. Wikipedia
An ideal I in an algebraic object R (which could be a ring, algebra, semigroup or lattice) that is generated by a given single element a ∈ R; the smallest ideal that contains a. Wiktionary
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ideal
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principal ideal
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principal ideal
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principal ideal
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Principle ideal

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