nil ideal
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Nil ideal — In mathematics, more specifically ring theory, an ideal of a ring is said to be a nil ideal if each of its elements is nilpotent.[1][2] The nilradical of a commutative ring is an example of a nil ideal; in fact, it is the ideal of the ring… … Wikipedia
Nil volentibus arduum — est une expression signifiant « à coeur vaillant, rien d impossible », c était également le nom d une société littéraire des Pays Bas du Nord, composée d admirateurs de la littérature française et essayant de répandre les lettres… … Wikipédia en Français
nil ad|mi|ra|ri — «nihl AD mih RAIR y», Latin. to be astonished by nothing (an ideal of the ancient Stoics): »Sensations and excitements are now multiplying so fast in New York that…they will result in infusing a little of the nil admirari spirit into the… … Useful english dictionary
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
Nilpotent ideal — In mathematics, more specifically ring theory, an ideal, I, of a ring is said to be a nilpotent ideal, if there exists a natural number k such that Ik = 0.[1] By Ik, it is meant the additive subgroup generated by the set of all products of k… … Wikipedia
Varan du nil — Varan du Nil … Wikipédia en Français
Varan du Nil — Varan du Nil … Wikipédia en Français
Glossary 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… … Wikipedia
Köthe conjecture — In mathematics, the Köthe conjecture is a problem in ring theory, open as of 2005. It is formulated in various ways. Suppose that R is a ring. One way to state the conjecture is that if R has no nil ideal, other than {0}, then it has no nil one… … Wikipedia
Nilradical of a ring — For more radicals, see radical of a ring. In algebra, the nilradical of a commutative ring is the ideal consisting of the nilpotent elements of the ring. In the non commutative ring case, more care is needed resulting in several related radicals … Wikipedia
Jacobson radical — In ring theory, a branch of abstract algebra, the Jacobson radical of a ring R is an ideal of R which contains those elements of R which in a sense are close to zero . DefinitionThe Jacobson radical is denoted by J( R ) and can be defined in the… … Wikipedia
