Checking saved dictionary data and trusted language sources. This will stop automatically if a source does not respond.
/nɪlˈpəʊtənt/ · adjective
(mathematics, algebra, ring theory, of an element x of a ring) 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).
The rest of this book is devoted to determining the conjugacy classes and centralizers of nilpotent elements in L(G) and unipotent elements in G, where G is an exceptional algebraic group of type E₈,E₇, E₆, F₄ or G₂ over an algebraically closed field K of characteristic p. This chapter contains statements of the main results for nilpotent elements.
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.
Use nilpotent when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Nilpotent means (mathematics, algebra, ring theory, of an element x of a ring) Such that, for some positive integer n, xⁿ = 0..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
If a square matrix is upper triangular and has zeros on the diagonal, then it is nilpotent (under the usual matrix multiplication).
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.