principal ideal

English dictionary entry

Meanings

noun
  1. 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.

Word forms

principal ideal principal ideals

Synonyms

two-sided principal ideal

Derived words

left principal ideal principal fractional ideal principal ideal domain right principal ideal
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