💡 Words with a Similar Meaning to "Hyperideal"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| pseudoidealnoun | (mathematics) The set of all lower bounds of the set of all upper bounds of a subset of a partially ordered set |
| ideal numbernoun | (number theory) An algebraic integer that represents an ideal in the ring of integers of a number field. |
| semihypergroupnoun | (mathematics) Any hypergroup for which the reproduction axiom is valid. |
| maximal idealnoun | (algebra, ring theory) An ideal which cannot be made any larger (by adjoining any element to it) without making it improper (i.e., equal to the whole of the containing algebraic structure). |
| idealnoun | A perfect standard of beauty, intellect etc., or a standard of excellence to aim at. |
| vanishing idealnoun | (algebraic geometry) An ideal consisting of all polynomials (belonging to a certain polynomial ring) which zero out within a given algebraic variety. |
| minimal idealnoun | (algebra, ring theory) A nonzero (two-sided) ideal that contains no other nonzero two-sided ideal. |
| hypergroupnoun | (mathematics) Any algebraic group equipped with a hyperoperation. |
| prime idealnoun | In a commutative ring, a (two-sided) ideal I such that for arbitrary ring elements a and b, ab∈I⟹a∈I or b∈I. |
| principal idealnoun | (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. |
| two-sided idealnoun | (algebra) A subset of a ring which is both a left ideal and a right ideal. Commonly referred to simply as an ideal, but referred to as two-sided ideal for emphasis. |
| hypergroupoidnoun | (mathematics) A hyperstructure with a hyperoperation. |
| principal ideal ringnoun | (algebra, ring theory) A commutative ring in which every ideal is a principal ideal. |
| hyperintegernoun | (mathematics, non-standard analysis) A hyperreal number equal to its own integer part. |
| idealizernoun | A person who idealizes. |
| radical idealnoun | (algebra, commutative algebra, ring theory) An ideal I within a ring R that is its own radical (i.e., for any r ∈ R, if rⁿ ∈ I for some positive integer n, then r ∈ I). |
| hypersemigroupnoun | (mathematics) A nonempty set for which the set of all subsets forms a semiring. |
| principal ideal domainnoun | (algebra) An integral domain in which every ideal is a principal ideal. |
| hyperalgebranoun | (mathematics) The formal group ring of a formal group law. |
| primary idealnoun | (algebra, ring theory) Given a commutative ring R, any ideal I such that for any a,b ∈ R, if ab ∈ I then either b ∈ I or aⁿ ∈ I for some integer n > 0. |
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