a quantity that equals zero when raised to a particular power
adjective
2.
equal to zero when raised to a particular power
a positive integer n such that xn = 0
nilpotent in American English
(nɪlˈpoutnt)
adjective
Math
equal to zero when raised to a certain power
Word origin
[1865–70; nil + potent]This word is first recorded in the period 1865–70. Other words that entered Englishat around the same time include: batting average, dunk, goulash, maverick, valence
Examples of 'nilpotent' in a sentence
nilpotent
Nilpotent elements of semi-simple algebras admit a partial ordering connected by a corresponding directed graph.
Fabio Apruzzi, Falk Hassler, Jonathan J. Heckman, Thomas B. Rochais 2019, 'Nilpotent networks and 4D RG flows', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP05(2019)074. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In this paper the notions of solvable right transversal and nilpotent right transversal are defined.
Kakkar Vipul, Jain Vivek Kumar 2017, 'Solvable and nilpotent right loops', Acta Universitatis Sapientiae: Mathematicahttp://www.degruyter.com/view/j/ausm.2017.9.issue-1/ausm-2017-0013/ausm-2017-0013.xml?format=INT. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The nilpotent structure has also been identified as being constructed from two commutative vector spaces.
Peter Marcer, Peter Rowlands 2017, 'Nilpotent Quantum Mechanics: Analogs and Applications', Frontiers in Physicshttp://journal.frontiersin.org/article/10.3389/fphy.2017.00028/full. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Also, we classify finite rings whose nilpotent graphs are ring graph or outerplanarity index 1,2.
A. Mallika, R. Kala 2018, 'Nilpotent graphs with crosscap at most two', AKCE International Journal of Graphs and Combinatoricshttp://www.sciencedirect.com/science/article/pii/S0972860017301032. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We also characterize ideals, nilradicals, and nilpotent elements of such algebras.
Janus Thomys, Xiaohong Zhang 2013, 'On Weak-BCC-Algebras', The Scientific World Journalhttp://dx.doi.org/10.1155/2013/935097. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The unperturbed system has a cuspidal loop and a nilpotent center.
Ali Atabaigi 2017, 'The number of zeros of Abelian integrals for a perturbation of a hyper-elliptic Hamiltoniansystem with a nilpotent center and a cuspidal loop', Electronic Journal of Qualitative Theory of Differential Equationshttp://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4537. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Some properties of the nilpotent elements of a residuated lattice are studied.
Shokoofeh Ghorbani, Lida Torkzadeh 2012, 'Nilpotent Elements of Residuated Lattices', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/2012/763428. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The paper also considers the conditions under which product of p′-nilpotent groups will be a p′-nilpotent group.
S. Srinivasan 1987, 'Finite p′-nilpotent groups. I', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/S0161171287000176. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Our choice of the grading leads to spinor coordinates that are nilpotent but commute amongst themselves.
Andrew James Bruce 2019, 'On a Z2n-Graded Version of Supersymmetry', Symmetryhttp://www.mdpi.com/2073-8994/11/1/116. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We show in three different ways, both in components and in superspace language, how the nilpotent goldstino superfield emerges.
Karim Benakli, Yifan Chen, Mark D. Goodsell 2018, 'Minimal constrained superfields and the Fayet–Iliopoulos model', European Physical Journal C: Particles and Fieldshttp://link.springer.com/article/10.1140/epjc/s10052-018-6178-1. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)