Definitions for nilpotent
nilpo·tent

Princeton's WordNetRate this definition:0.0 / 0 votes

1. nilpotentadjective

   equal to zero when raised to a certain power

WiktionaryRate this definition:0.0 / 0 votes

1. nilpotentadjective

   Describing an element, of a ring, for which there exists some positive integer n such that x = 0.

ChatGPTRate this definition:0.0 / 0 votes

1. nilpotent

   In mathematics, nilpotent refers to an element of a mathematical structure which becomes "zero" when raised to a certain positive power. Specifically, in a ring (a set with two operations, typically labeled as addition and multiplication), an element, 'a', is called nilpotent if there exists a positive integer 'n' such that a^n = 0. The term is also used in various other mathematical contexts with slightly different definitions. For example, in linear algebra, a square matrix is nilpotent if some power of it equals the zero matrix. In group theory, a group is nilpotent if it has an ascending sequence of normal subgroups whose factors are all abelian. Despite their differences, all definitions of nilpotency express the core idea of exponential diminishment.

WikidataRate this definition:0.0 / 0 votes

1. Nilpotent

   In mathematics, an element x of a ring R is called nilpotent if there exists some positive integer n such that x = 0. The term was introduced by Benjamin Peirce in the context of elements of an algebra that vanish when raised to a power.

Usage in printed sourcesFrom: 

1. [["1890","5"],["1893","1"],["1908","2"],["1918","3"],["1919","12"],["1927","7"],["1931","172"],["1936","1"],["1939","3"],["1940","18"],["1941","1"],["1942","20"],["1943","17"],["1944","1"],["1945","12"],["1947","44"],["1948","21"],["1949","55"],["1950","46"],["1951","16"],["1952","13"],["1953","63"],["1954","20"],["1955","174"],["1956","262"],["1957","120"],["1958","6"],["1959","39"],["1960","244"],["1961","11"],["1962","105"],["1963","143"],["1964","38"],["1965","87"],["1966","143"],["1967","64"],["1968","102"],["1969","23"],["1970","106"],["1971","88"],["1972","138"],["1973","301"],["1974","249"],["1975","189"],["1976","770"],["1977","63"],["1978","54"],["1979","57"],["1980","276"],["1981","87"],["1982","94"],["1983","86"],["1984","151"],["1985","300"],["1986","253"],["1987","214"],["1988","160"],["1989","292"],["1990","167"],["1991","225"],["1992","1980"],["1993","366"],["1994","280"],["1995","369"],["1996","186"],["1997","503"],["1998","242"],["1999","423"],["2000","341"],["2001","419"],["2002","550"],["2003","442"],["2004","314"],["2005","250"],["2006","337"],["2007","761"],["2008","296"]]

How to pronounce nilpotent?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say nilpotent in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of nilpotent in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of nilpotent in Pythagorean Numerology is: 8

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=nilpotent
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Nilpotent
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=nilpotent
5. ^ Usage in printed sources
   https://books.google.com/ngrams/graph?content=nilpotent