💡 Words with a Similar Meaning to "Presemifield"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| semifieldnoun | Synonym of hemifield (“half of the field of vision”). |
| fieldnoun | A land area free of woodland, cities, and towns; an area of open country. |
| skew fieldnoun | (algebra, dated) A ring in which every nonzero element has a multiplicative inverse; division ring |
| subfieldnoun | A smaller, more specialized area of study or occupation within a larger one |
| finite fieldnoun | (algebra) Synonym of Galois field. |
| ringnoun | (physical) A solid object in the shape of a circle. |
| field of fractionsnoun | (algebra, ring theory) The smallest field in which a given ring can be embedded. |
| semialgebranoun | (mathematics) A class that is closed under intersection and semiclosed under set difference |
| hypersemigroupnoun | (mathematics) A nonempty set for which the set of all subsets forms a semiring. |
| hyperfieldnoun | (mathematics) A field in which the operation of addition is multivalued |
| splitting fieldnoun | (algebra, Galois theory) (of a polynomial) Given a polynomial p over a field K, the smallest extension field L of K such that p, as a polynomial over L, decomposes into linear factors (polynomials of degree 1); (of a set of polynomials) given a set P of polynomials over K, the smallest extension field of K over which every polynomial in P decomposes into linear factors. |
| fixed fieldnoun | (algebra, Galois theory) A subfield of a given field which contains all of the fixed points that are common to all of the automorphisms of some subgroup of the automorphism group of that given field. |
| prime fieldnoun | (algebra, field theory) A field that contains no proper subfields. |
| semiringnoun | (algebra) An algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. |
| division algebranoun | (algebra) An algebra over a field such that every non-zero element of it has a multiplicative inverse. (It is not required to have a unity element.) |
| non-associative algebranoun | (algebra) An algebra over a ring (or more narrowly, an algebra over a field) whose bilinear product is not necessarily associative. |
| field of quotientsnoun | (algebra) A field all of whose elements can be represented as ordered pairs each of whose components belong to a given integral domain, such that the second component is non-zero, and so that the additive operator is defined like so: (a,b)+(a',b')=(ab'+a'b,bb'), the multiplicative operator is defined coordinate-wise, the zero is (0,1), the unity is (1,1), the additive inverse of (a,b) is (-a,b), equivalence is defined like so: (a,b)≡(a',b') if and only if ab'=a'b, and multiplicative inverse of a non-zero–equivalent element (a,b) is (b,a). |
| pseudoalgebra | — |
| algebraic number fieldnoun | (mathematics, algebraic number theory) A field which includes the rational numbers and has finite dimension as a vector space over the rational numbers. |
| ordered fieldnoun | (algebra) A field which has an order relation satisfying these properties: trichotomy, transitivity, preservation of an inequality when the same element is added to both sides, and preservation of an inequality when the same strictly positive element is multiplied to both sides. |
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