Integral element

Noun

Word Frequency: 0.2

Definitions

1.NounGiven a commutative unital ring R with extension ring S (i.e., that is a subring of S), any element s ∈ S that is a root of some monic polynomial with coefficients in R.

Synonyms

integral domain regular element radical radical ideal primary ideal local ring factor ideal primitive polynomial right ideal primitive element unique factorization ring identity element

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