💡 Words with a Similar Meaning to "Overring"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| valuation ringnoun | (algebra) An integral domain D such that for every element x of its field of fractions F, at least one of x or x⁻¹ belongs to D. |
| subringnoun | (algebra) A ring which is contained in a larger ring, such that the multiplication and addition on the former are a restriction of those on the latter. When rings are required to have a multiplicative identity (as is standard in most branches of algebra), the subring must also have the same multiplicative identity as the larger ring. |
| superringnoun | (mathematics) A superalgebra over a ring. |
| overorderverb | (ambitransitive) To order too much or too many. |
| noetherian domainnoun | A Noetherian ring which is also an integral domain. |
| overconenoun | (mathematics) A morphism from a diagonal overfunctor to the base category of the overcategory. |
| subfieldnoun | A smaller, more specialized area of study or occupation within a larger one |
| integral domainnoun | (algebra, ring theory) Any nonzero commutative ring in which the product of nonzero elements is nonzero. |
| total ring of fractionsnoun | (algebra) A ring of fractions of a given ring, such that the set of allowed denominators contains all of the non-zero divisors of the given ring. |
| idealnoun | A perfect standard of beauty, intellect etc., or a standard of excellence to aim at. |
| algebra over a ringnoun | (algebra) A module (over a commutative ring R) equipped with a bilinear binary operation taking values in R. |
| operatornoun | A person or organisation that operates a device, system, service, etc. |
| fractional idealnoun | (algebra, ring theory) Given an integral domain R and its field of fractions K = Frac(R), an R-submodule I of K such that for some nonzero r∈R, rI ⊆ R. |
| ordered ringnoun | (algebra, order theory, ring theory) A ring, R, equipped with a total order, ≤, such that for arbitrary a, b, c ∈ R, if a ≤ b then a + c ≤ b + c, and if, additionally, 0 ≤ c, then both ca ≤ cb and ac ≤ bc. |
| k-algebranoun | (algebra) An algebra over a field; a ring with identity together with an injective ring homomorphism from a field, k, to the ring such that the image of the field is a subset of the center of the ring and such that the image of the field’s unity is the ring’s unity. |
| coringnoun | The production of a core by means of drilling |
| factor ringnoun | (algebra, ring theory) A quotient ring. |
| ring of fractionsnoun | (algebra) A ring whose elements are fractions whose numerators belong to a given commutative unital ring and whose denominators belong to a multiplicatively closed unital subset D of that given ring. Addition and multiplication of such fractions is defined just as for a field of fractions. A pair of fractions a/b and c/d are deemed equivalent if there is a member x of D such that x(ad-bc)=0. |
| ordered integral domainnoun | (algebra) An integral domain which has a subset whose elements are said to be "positive", such that this subset is closed under addition, closed under multiplication, and all elements of the integral domain satisfy a law of trichotomy; namely, that either that element is in the said subset, or it is the zero (additive identity), or its product with −1 (the additive inverse of the multiplicative identity) belongs to the said subset. |
| localizationnoun | (software engineering) The act, process, or result of making a product suitable for use in a particular country or region. |
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