nilpotent

Tanımlar (İngilizce)

1. sıfat Such that, for some positive integer n, xⁿ = 0.

   “If a square matrix is upper triangular and has zeros on the diagonal, then it is nilpotent (under the usual matrix multiplication).”

2. sıfat Belonging to the derived algebra of L and such that the adjoint action of x is nilpotent (as a linear transformation on L).
3. sıfat Such that the lower central series terminates.
4. sıfat Admitting a central series of finite length.
5. sıfat Such that there exists a natural number k with Iᵏ = 0.
6. sıfat Containing only nilpotent elements.
7. sıfat Such that there exists some natural number n (called the index of the algebra) such that all products (of elements in the given algebra) of length n are zero.
8. isim A nilpotent element.

   “The so-called spinor algebra of C(2), the language of the quantum mechanics, is formulated in terms of the idempotents and nilpotents of the geometric algebra of space, including its beautiful representation on the Riemann sphere, and a new proof of the Heisenberg uncertainty principle.”