integral domain
91Zero divisor — In abstract algebra, a nonzero element a of a ring is a left zero divisor if there exists a nonzero b such that ab = 0.[1] Similarly, a nonzero element a of a ring is a right zero divisor if there exists a nonzero c such that ca = 0. An element… …
92Localization of a ring — In abstract algebra, localization is a systematic method of adding multiplicative inverses to a ring. Given a ring R and a subset S , one wants to construct some ring R* and ring homomorphism from R to R* , such that the image of S consists of… …
93List of commutative algebra topics — Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative… …
94Viète's formulas — For Viète s formula for computing pi;, see that article. In mathematics, more specifically in algebra, Viète s formulas, named after François Viète, are formulas which relate the coefficients of a polynomial to signed sums and products of its… …
95Normal scheme — In mathematics, in the field of algebraic geometry, a normal scheme is a scheme X for which every stalk (local ring) OX,x of its structure sheaf OX is an integrally closed local ring; that is, each stalk is an integral domain such that its… …
96Ideal (ring theory) — In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring. The ideal concept allows the generalization in an appropriate way of some important properties of integers like even number or multiple of 3 . For instance, in… …
97Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… …
98Formal power series — In mathematics, formal power series are devices that make it possible to employ much of the analytical machinery of power series in settings that do not have natural notions of convergence. They are also useful, especially in combinatorics, for… …
99Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …
100Category of rings — In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (preserving the identity). Like many categories in mathematics, the category of rings is… …
