integral domain
51Cauchy integral formula — Math. a theorem that gives an expression in terms of an integral for the value of an analytic function at any point inside a simple closed curve of finite length in a domain. [named after A. L. CAUCHY] * * * …
52Cauchy integral theorem — Math. the theorem that the integral of an analytic function about a closed curve of finite length in a finite, simply connected domain is zero. [named after A. L. CAUCHY] * * * …
53line integral — noun An integral the domain of whose integrand is a curve …
54Cauchy integral formula — Math. a theorem that gives an expression in terms of an integral for the value of an analytic function at any point inside a simple closed curve of finite length in a domain. [named after A. L. CAUCHY] …
55Cauchy integral theorem — Math. the theorem that the integral of an analytic function about a closed curve of finite length in a finite, simply connected domain is zero. [named after A. L. CAUCHY] …
56integraldomain — integral domain n. A commutative ring with identity having no proper divisors of zero, that is, where the product of nonzero elements cannot be zero. * * * …
57Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …
58Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… …
59Ascending chain condition on principal ideals — In abstract algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two sided ideals of a ring, partially ordered by inclusion. The ascending ascending chain condition on principal… …
60Integrality — In commutative algebra, the notions of an element integral over a ring (also called an algebraic integer over the ring), and of an integral extension of rings, are a generalization of the notions in field theory of an element being algebraic over …
