the additive polynomials are an important topic in classical algebraic number theory. Let k be a field of prime characteristic p. A polynomial P(x) with...
4 KB (644 words) - 06:22, 13 May 2024
of algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more...
51 KB (8,173 words) - 20:35, 14 June 2024
P(x) is an additive polynomial. Separable polynomials occur frequently in Galois theory. For example, let P be an irreducible polynomial with integer...
6 KB (783 words) - 21:16, 19 May 2024
Bernstein polynomial Characteristic polynomial Minimal polynomial Invariant polynomial Abel polynomials Actuarial polynomials Additive polynomials All one...
5 KB (441 words) - 01:35, 1 December 2023
Zero of a function (redirect from Polynomial root)
root of a polynomial is a zero of the corresponding polynomial function. The fundamental theorem of algebra shows that any non-zero polynomial has a number...
8 KB (1,038 words) - 06:00, 4 April 2024
multiplication in the ring of additive polynomials is given by composition of polynomials, not by multiplication of commutative polynomials, and is not commutative...
11 KB (1,623 words) - 07:14, 7 July 2023
Discriminant (redirect from Discriminant of a polynomial)
precisely, it is a polynomial function of the coefficients of the original polynomial. The discriminant is widely used in polynomial factoring, number...
41 KB (6,702 words) - 15:11, 22 August 2024
additive. When the domain is the real numbers, this is Cauchy's functional equation. For a specific case of this definition, see additive polynomial....
6 KB (1,239 words) - 20:13, 1 February 2023
Arithmetic combinatorics (redirect from Additive Combinatorics)
arithmetic operations (addition, subtraction, multiplication, and division). Additive combinatorics is the special case when only the operations of addition...
9 KB (956 words) - 15:34, 8 August 2024
Field (mathematics) (redirect from Additive group of a field)
b = b ⋅ a. Additive and multiplicative identity: there exist two distinct elements 0 and 1 in F such that a + 0 = a and a ⋅ 1 = a. Additive inverses: for...
87 KB (10,299 words) - 08:01, 21 August 2024