principal ideal
principal ideal · principal ideals
An ideal I in an algebraic object R that is generated by a given single element a ∈ RAn 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.
Meaning
1 sensesAn 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.
Forms
plural: principal ideals| Singular | principal ideal |
|---|---|
| Plural | principal ideals |
regular
Synonyms
1 synonymssmallest ideal that contains a given element:two-sided principal ideal
See also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.