nilpotent


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nilpotent

[¦nil′pōt·ənt]
(mathematics)
An element of some algebraic system which vanishes when raised to a certain power.
References in periodicals archive ?
Hilger KH, Hofmann JD, Lawson L (1985) Controllability of systems on a nilpotent Lie group.
The nilpotent endomorphisms of Q = (a, b) are the maps
Goodearl and Yakimov prove that all algebras in a very large, axiomatically defined class of quantum nilpotent algebras possess quantum cluster algebra structures under mild conditions.
Hopf commutators on one hand and integrals of certain left coideal subalgebras enable us to define nilpotent Hopf algebras as a natural generalization of nilpotent groups.
We have also twelve classes (twenty four in total) of primitive nilpotents,
Nilpotent operators are quasinilpotent of order zero but the converse is not true since a quasinilpotent is nilpotent of order n if and only if the resolvent is a polynomial in 1/[lambda] of order n.
1] be the m x m nilpotent matrix which is zero everywhere except for ones along the first superdiagonal.
Among the topics discussed by the research articles are symplectic Heegaard splittings and linked abelian groups, differential characters and the Steenrod squares, relative weight filtrations on completions of mapping class groups, symplectic automorphism groups of nilpotent quotient of fundamental groups of surfaces, and new examples of elements in the kernel of the Magnus representation of the Torelli groups.
If A is not nilpotent, then the index of A is equal to the number of decompositions of the rank which is necessary to make with a view to find the reduction, this is p from (2.
If a CA has only one single connected component, it is called a nilpotent.