principal ideal
From Wiktionary, the free dictionary
English
Noun
principal ideal (plural principal ideals)
- (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.
Synonyms
- (smallest ideal that contains a given element): two-sided principal ideal
Derived terms
- left principal ideal
- principal fractional ideal
- principal ideal domain
- right principal ideal
Further reading
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