Last Updated
：2025/11/25
principal ideal
Noun
Japanese Meaning
ある一つの要素により生成されるイデアル。すなわち、代数学的対象 R において、特定の要素 a を含む最小のイデアル(生成されたイデアル)を指す。
（ plural ）
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(algebra) 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.
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principal ideal
In the ring R, the principal ideal generated by a single element a influences many structural properties of R.
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In the ring R, the principal ideal generated by a single element a influences many structural properties of R.
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