regular ideal
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Ideal (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… … Wikipedia
IDEAL — is an Internet payment method in The Netherlands, based on online banking. Introduced in 2005, this payment method allows customers to buy securely on the Internet using direct online transfers from their bank account. iDEAL processed in 2007 15… … Wikipedia
Regular chain — In computer algebra, a regular chain is a particular kind of triangular set in a multivariate polynomial ring over a field. It enhances the notion of characteristic set. Introduction Given a linear system, one can convert it to a triangular… … Wikipedia
Regular polytope — In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j faces (for all 0≤ j ≤ n , where n is the dimension of the polytope) cells, faces and… … Wikipedia
Regular local ring — In commutative algebra, a regular local ring is a Noetherian local ring having the property that the minimal number of generators of its maximal ideal is exactly the same as its Krull dimension. The minimal number of generators of the maximal… … Wikipedia
Ideal solution — In chemistry, an ideal solution or ideal mixture is a solution in which the enthalpy of solution is zero; [ A to Z of Thermodynamics Pierre Perrot ISBN 0198565569] the closer to zero the enthalpy of solution, the more ideal the behavior of the… … Wikipedia
Regular ring — In commutative algebra, a regular ring is a commutative noetherian ring, such that the localization at every maximal ideal is a regular local ring: that is, every such localization has the property that the minimal number of generators of its… … Wikipedia
Regular solution — A regular solution is a solution that diverges from the behavior of an ideal solution only moderately [Simon McQuarrie Physical Chemistry: A molecular approach] .More precisely it can be described by Raoult s law modified with a Margules function … Wikipedia
Ideal class group — In mathematics, the extent to which unique factorization fails in the ring of integers of an algebraic number field (or more generally any Dedekind domain) can be described by a certain group known as an ideal class group (or class group). If… … Wikipedia
Idéal fractionnaire — Richard Dedekind donne en 1876 la définition d idéal fractionnaire. En mathématiques, et plus précisément en théorie des anneaux, un idéal fractionnaire est une généralisation de la définition d un idéal. Ce concept doit son origine à la théorie… … Wikipédia en Français
Ideal number — In mathematics an ideal number is an algebraic integer which represents an ideal in the ring of integers of a number field; the idea was developed by Ernst Kummer, and led to Richard Dedekind s definition of ideals for rings. An ideal in the ring … Wikipedia