integral domain
111PID — stands for a number of things, including those mentioned below.Medicine*Prolapsed intervertebral disc, commonly called a herniated disc *Primary immune deficiency *Pelvic Inflammatory Disease (or Pelvic Inflammatory Disorder), an infection and… …
112Quotient ring — In mathematics a quotient ring, also known as factor ring or residue class ring, is a construction in ring theory, quite similar to the factor groups of group theory and the quotient spaces of linear algebra. One starts with a ring R and a two… …
113Trichotomy (mathematics) — Generally, a trichotomy is a splitting into three disjoint parts. In mathematics, the law (or axiom) of trichotomy is most commonly the statement that for any (real) numbers x and y , exactly one of the following relations holds::xy.If applied to …
114Frobenius endomorphism — In commutative algebra and field theory, which are branches of mathematics, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of rings with prime characteristic p , a class importantly including fields. The… …
115Solving quadratic equations with continued fractions — In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is:ax^2+bx+c=0,,!where a ne; 0.Students and teachers all over the world are familiar with the quadratic formula that can be derived by completing …
116field of quotients — Math. a field whose elements are pairs of elements of a given commutative integral domain such that the second element of each pair is not zero. The field of rational numbers is the field of quotients of the integral domain of integers. Also… …
117Cluster algebra — Cluster algebras are a class of commutative rings introduced by Fomin and Zelevinsky (2002, 2003, 2007). A cluster algebra of rank n is an integral domain A, together with some subsets of size n called clusters whose union generates the… …
118field of quotients — Math. a field whose elements are pairs of elements of a given commutative integral domain such that the second element of each pair is not zero. The field of rational numbers is the field of quotients of the integral domain of integers. Also… …
119Equation — This article is about equations in mathematics. For the chemistry term, see chemical equation. The first use of an equals sign, equivalent to 14x+15=71 in modern notation. From The Whetstone of Witte by Robert Recorde (1557). An equation is a… …
120Irreducible polynomial — In mathematics, the adjective irreducible means that an object cannot be expressed as a product of at least two non trivial factors in a given set. See also factorization. For any field F , the ring of polynomials with coefficients in F is… …
