nilpotent

IPA: nˈɪɫpʌtʌnt

(algebra, ring theory, of an element x of a semigroup or ring) Such that, for some positive integer n, xⁿ = 0.

Examples of "nilpotent" in Sentences

Hence this subalgebra admits a nilpotent BRST operator, and can be viewed as a gauge symmetry.
The BRST operator for the full Virasoro algebra is not nilpotent, and hence a global symmetry.
Multi function printer say, as a thyrotropin, she may be nilpotent or cislunar and may act plumb in plagiarized.
x (for m ¥ 2) which George Boole had introduced in this form in his algebra of logic in 1847; and ˜nilpotent™, when xm = 0, for some m.
There is nothing inconsistent with this restriction, and the positive L_m in isolation generate a gauge symmetry; there is no anomaly in the positive sector and thus a nilpotent BRST operator.
One application of the solvable Freiman theorem is the following quantitative version of a classical result of Wolf, which asserts that any solvable group of polynomial growth is virtually nilpotent:
It provides a rigorous framework for mathematical analysis in which every function between spaces is smooth (i.e., differentiable arbitrarily many times, and so in particular continuous) and in which the use of limits in defining the basic notions of the calculus is replaced by nilpotent infinitesimals, that is, of quantities so small (but not actually zero) that some power ” most usefully, the square ” vanishes.