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Nilpotent
Nilpotent This article is about a type of ... ring. For the type of group, see Nilpotent group. In mathematics, an element x of a ring R is called nilpotent if there exists some positive integer n ... 0&0&0\end{pmatrix} is nilpotent because A 3 = 0. See nilpotent matrix for more. In the factor ...
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Nilpotent (translated from French)
Nilpotent In mathematics , an element X of one ring R is called nilpotent if there is certain whole number positive ... contains cone of nilpotents. Properties No element nilpotent cannot be one unit (except in the ... ideal is it nilradical ring. Each element nilpotent in a commutative ring is contained in ... equal to the nilradical. If X east nilpotent, then 1 - X is one unit, ...
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Nilpotent (translated from Dutch)
Nilpotent matrix are nilpotent with index s as |
Nilpotent group
Nilpotent group In group theory, a nilpotent group is a group having a special ... x,y] = x -1 y -1 xy. Nilpotent groups arise in Galois theory, as well ... this idea, we call a group G nilpotent if there is some natural number n ... trivial, then we say that G is nilpotent of class n. Every abelian group ...
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Nilpotent cone
Nilpotent cone In mathematics, the nilpotent cone of a ... in \mathfrak{g}: \rho(a) \mbox{ is nilpotent for all representations } \rho:\mathfrak{g}\to \operatorname{End}(V)\}. The nilpotent cone is an irreducible subvariety of |
Nilpotent matrix
Nilpotent matrix In mathematics, a nilpotent matrix is an nn square matrix M ... for some positive integer q. Similarly, a nilpotent transformation is a linear transformation L with ... This is an example of a 44 nilpotent matrix. Notice the non-zero superdiagonal. The ... one gets the null matrix. The corresponding nilpotent transformation L : R 4 → R ...
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Endomorphism nilpotent (translated from French)
Endomorphism nilpotent This article is one ébauche to be ... your knowledge by modifying it. One endomorphism nilpotent is one endomorphism , which, composé by itself ... application. A means of recognizing the character nilpotent of a endomorphism is to multiply matrice ... of its powers is null. See too Nilpotent
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Talk:Nilpotent group
Talk:Nilpotent group if G is nilpotent of class n, then both the upper ... be constructed as follows: Let H be nilpotent of class n, and K be a ... repeating at n, but G is not nilpotent. If K is any perfect group, it ... of K by H, where H is nilpotent; but I need to think about ...
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User talk:Nilpotent
User talk:Nilpotent Welcome! Hello, Nilpotent, and welcome to Wikipedia! Thank you for ...
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Glossary of ring theory
... x divides a or x divides b. Nilpotent An element r of R is nilpotent if there exists a positive integer n ... is nil if it consists only of nilpotent elements. A nil ring would be a ring consisting only of nilpotent elements; under the convention that rings are ... formed by adding 1. Nil algebras similarly. Nilpotent ideal An ideal I is nilpotent ...
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